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Finding the Fourth Proportional to 20,138.64, 30,207.33 and 9,616.20

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Solution

The fourth proportional to 20,138.64, 30,207.33 and 9,616.20 is: 14,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.64 : 30,207.33 = 9,616.20 : x
  2. Step 2: Convert to fraction form
    20,138.64/30,207.33 = 9,616.20/x
  3. Step 3: Cross multiply
    20,138.64x = 30,207.33 × 9,616.20
  4. Step 4: Simplify right side
    20,138.64x = 290,479,726.75
  5. Step 5: Solve for x
    x = 290,479,726.75/20,138.64
  6. Step 6: Final answer
    x = 14,424.00

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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.