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Finding the Fourth Proportional to 22,740.30, 34,095.78 and 9,589.14

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Solution

The fourth proportional to 22,740.30, 34,095.78 and 9,589.14 is: 14,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.30 : 34,095.78 = 9,589.14 : x
  2. Step 2: Convert to fraction form
    22,740.30/34,095.78 = 9,589.14/x
  3. Step 3: Cross multiply
    22,740.30x = 34,095.78 × 9,589.14
  4. Step 4: Simplify right side
    22,740.30x = 326,949,207.83
  5. Step 5: Solve for x
    x = 326,949,207.83/22,740.30
  6. Step 6: Final answer
    x = 14,377.52

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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.