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Finding the Fourth Proportional to 16,713.61, 23,065.05 and 9,160.66

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Solution

The fourth proportional to 16,713.61, 23,065.05 and 9,160.66 is: 12,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.61 : 23,065.05 = 9,160.66 : x
  2. Step 2: Convert to fraction form
    16,713.61/23,065.05 = 9,160.66/x
  3. Step 3: Cross multiply
    16,713.61x = 23,065.05 × 9,160.66
  4. Step 4: Simplify right side
    16,713.61x = 211,291,035.13
  5. Step 5: Solve for x
    x = 211,291,035.13/16,713.61
  6. Step 6: Final answer
    x = 12,641.86

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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.