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Finding the Fourth Proportional to 22,816.91, 34,202.07 and 15,422.13

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Solution

The fourth proportional to 22,816.91, 34,202.07 and 15,422.13 is: 23,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.91 : 34,202.07 = 15,422.13 : x
  2. Step 2: Convert to fraction form
    22,816.91/34,202.07 = 15,422.13/x
  3. Step 3: Cross multiply
    22,816.91x = 34,202.07 × 15,422.13
  4. Step 4: Simplify right side
    22,816.91x = 527,468,769.81
  5. Step 5: Solve for x
    x = 527,468,769.81/22,816.91
  6. Step 6: Final answer
    x = 23,117.45

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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.