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Finding the Fourth Proportional to 22,680.04, 33,973.98 and 11,713

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Solution

The fourth proportional to 22,680.04, 33,973.98 and 11,713 is: 17,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680.04 : 33,973.98 = 11,713 : x
  2. Step 2: Convert to fraction form
    22,680.04/33,973.98 = 11,713/x
  3. Step 3: Cross multiply
    22,680.04x = 33,973.98 × 11,713
  4. Step 4: Simplify right side
    22,680.04x = 397,937,227.74
  5. Step 5: Solve for x
    x = 397,937,227.74/22,680.04
  6. Step 6: Final answer
    x = 17,545.70

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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.