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Finding the Fourth Proportional to 16,003.06, 22,086.18 and 9,632.97

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Solution

The fourth proportional to 16,003.06, 22,086.18 and 9,632.97 is: 13,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.06 : 22,086.18 = 9,632.97 : x
  2. Step 2: Convert to fraction form
    16,003.06/22,086.18 = 9,632.97/x
  3. Step 3: Cross multiply
    16,003.06x = 22,086.18 × 9,632.97
  4. Step 4: Simplify right side
    16,003.06x = 212,755,509.35
  5. Step 5: Solve for x
    x = 212,755,509.35/16,003.06
  6. Step 6: Final answer
    x = 13,294.68

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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.