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Finding the Fourth Proportional to 22,932.84, 34,399.38 and 10,444.16

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Solution

The fourth proportional to 22,932.84, 34,399.38 and 10,444.16 is: 15,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.84 : 34,399.38 = 10,444.16 : x
  2. Step 2: Convert to fraction form
    22,932.84/34,399.38 = 10,444.16/x
  3. Step 3: Cross multiply
    22,932.84x = 34,399.38 × 10,444.16
  4. Step 4: Simplify right side
    22,932.84x = 359,272,456.62
  5. Step 5: Solve for x
    x = 359,272,456.62/22,932.84
  6. Step 6: Final answer
    x = 15,666.29

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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.