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Finding the Fourth Proportional to 28,287.52, 39,038.16 and 15,712

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Solution

The fourth proportional to 28,287.52, 39,038.16 and 15,712 is: 21,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.52 : 39,038.16 = 15,712 : x
  2. Step 2: Convert to fraction form
    28,287.52/39,038.16 = 15,712/x
  3. Step 3: Cross multiply
    28,287.52x = 39,038.16 × 15,712
  4. Step 4: Simplify right side
    28,287.52x = 613,367,569.92
  5. Step 5: Solve for x
    x = 613,367,569.92/28,287.52
  6. Step 6: Final answer
    x = 21,683.33

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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.