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Finding the Fourth Proportional to 23,505.29, 35,233.17 and 7,706.20

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Solution

The fourth proportional to 23,505.29, 35,233.17 and 7,706.20 is: 11,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.29 : 35,233.17 = 7,706.20 : x
  2. Step 2: Convert to fraction form
    23,505.29/35,233.17 = 7,706.20/x
  3. Step 3: Cross multiply
    23,505.29x = 35,233.17 × 7,706.20
  4. Step 4: Simplify right side
    23,505.29x = 271,513,854.65
  5. Step 5: Solve for x
    x = 271,513,854.65/23,505.29
  6. Step 6: Final answer
    x = 11,551.18

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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.