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Finding the Fourth Proportional to 27,737.91, 38,276.25 and 15,798.92

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Solution

The fourth proportional to 27,737.91, 38,276.25 and 15,798.92 is: 21,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.91 : 38,276.25 = 15,798.92 : x
  2. Step 2: Convert to fraction form
    27,737.91/38,276.25 = 15,798.92/x
  3. Step 3: Cross multiply
    27,737.91x = 38,276.25 × 15,798.92
  4. Step 4: Simplify right side
    27,737.91x = 604,723,161.02
  5. Step 5: Solve for x
    x = 604,723,161.02/27,737.91
  6. Step 6: Final answer
    x = 21,801.32

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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.