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Finding the Fourth Proportional to 22,909.32, 34,333.20 and 9,758.16

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Solution

The fourth proportional to 22,909.32, 34,333.20 and 9,758.16 is: 14,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.32 : 34,333.20 = 9,758.16 : x
  2. Step 2: Convert to fraction form
    22,909.32/34,333.20 = 9,758.16/x
  3. Step 3: Cross multiply
    22,909.32x = 34,333.20 × 9,758.16
  4. Step 4: Simplify right side
    22,909.32x = 335,028,858.91
  5. Step 5: Solve for x
    x = 335,028,858.91/22,909.32
  6. Step 6: Final answer
    x = 14,624.13

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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.