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Finding the Fourth Proportional to 14,472.76, 21,709.18 and 5,107.68

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Solution

The fourth proportional to 14,472.76, 21,709.18 and 5,107.68 is: 7,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.76 : 21,709.18 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    14,472.76/21,709.18 = 5,107.68/x
  3. Step 3: Cross multiply
    14,472.76x = 21,709.18 × 5,107.68
  4. Step 4: Simplify right side
    14,472.76x = 110,883,544.50
  5. Step 5: Solve for x
    x = 110,883,544.50/14,472.76
  6. Step 6: Final answer
    x = 7,661.53

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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.