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Finding the Fourth Proportional to 13,913,797.14, 20,870,806.68 and 5,714,326.91

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Solution

The fourth proportional to 13,913,797.14, 20,870,806.68 and 5,714,326.91 is: 8,571,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913,797.14 : 20,870,806.68 = 5,714,326.91 : x
  2. Step 2: Convert to fraction form
    13,913,797.14/20,870,806.68 = 5,714,326.91/x
  3. Step 3: Cross multiply
    13,913,797.14x = 20,870,806.68 × 5,714,326.91
  4. Step 4: Simplify right side
    13,913,797.14x = 119,262,612,297,108.77
  5. Step 5: Solve for x
    x = 119,262,612,297,108.77/13,913,797.14
  6. Step 6: Final answer
    x = 8,571,535.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.