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Finding the Fourth Proportional to 22,758.38, 34,143.32 and 6,342.38

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Solution

The fourth proportional to 22,758.38, 34,143.32 and 6,342.38 is: 9,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.38 : 34,143.32 = 6,342.38 : x
  2. Step 2: Convert to fraction form
    22,758.38/34,143.32 = 6,342.38/x
  3. Step 3: Cross multiply
    22,758.38x = 34,143.32 × 6,342.38
  4. Step 4: Simplify right side
    22,758.38x = 216,549,755.04
  5. Step 5: Solve for x
    x = 216,549,755.04/22,758.38
  6. Step 6: Final answer
    x = 9,515.17

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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.