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Finding the Fourth Proportional to 27,781.16, 38,332.08 and 16,454.24

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Solution

The fourth proportional to 27,781.16, 38,332.08 and 16,454.24 is: 22,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.16 : 38,332.08 = 16,454.24 : x
  2. Step 2: Convert to fraction form
    27,781.16/38,332.08 = 16,454.24/x
  3. Step 3: Cross multiply
    27,781.16x = 38,332.08 × 16,454.24
  4. Step 4: Simplify right side
    27,781.16x = 630,725,244.02
  5. Step 5: Solve for x
    x = 630,725,244.02/27,781.16
  6. Step 6: Final answer
    x = 22,703.34

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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.