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Finding the Fourth Proportional to 14,406.63, 19,881.09 and 8,033.15

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Solution

The fourth proportional to 14,406.63, 19,881.09 and 8,033.15 is: 11,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.63 : 19,881.09 = 8,033.15 : x
  2. Step 2: Convert to fraction form
    14,406.63/19,881.09 = 8,033.15/x
  3. Step 3: Cross multiply
    14,406.63x = 19,881.09 × 8,033.15
  4. Step 4: Simplify right side
    14,406.63x = 159,707,678.73
  5. Step 5: Solve for x
    x = 159,707,678.73/14,406.63
  6. Step 6: Final answer
    x = 11,085.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.