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Finding the Fourth Proportional to 16,024.01, 22,109.76 and 9,306.17

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Solution

The fourth proportional to 16,024.01, 22,109.76 and 9,306.17 is: 12,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.01 : 22,109.76 = 9,306.17 : x
  2. Step 2: Convert to fraction form
    16,024.01/22,109.76 = 9,306.17/x
  3. Step 3: Cross multiply
    16,024.01x = 22,109.76 × 9,306.17
  4. Step 4: Simplify right side
    16,024.01x = 205,757,185.22
  5. Step 5: Solve for x
    x = 205,757,185.22/16,024.01
  6. Step 6: Final answer
    x = 12,840.56

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