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Finding the Fourth Proportional to 27,221.54, 40,838.07 and 9,691.31

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Solution

The fourth proportional to 27,221.54, 40,838.07 and 9,691.31 is: 14,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.54 : 40,838.07 = 9,691.31 : x
  2. Step 2: Convert to fraction form
    27,221.54/40,838.07 = 9,691.31/x
  3. Step 3: Cross multiply
    27,221.54x = 40,838.07 × 9,691.31
  4. Step 4: Simplify right side
    27,221.54x = 395,774,534.61
  5. Step 5: Solve for x
    x = 395,774,534.61/27,221.54
  6. Step 6: Final answer
    x = 14,539.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.