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Finding the Fourth Proportional to 23,531.38, 35,301.40 and 7,737.30

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Solution

The fourth proportional to 23,531.38, 35,301.40 and 7,737.30 is: 11,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.38 : 35,301.40 = 7,737.30 : x
  2. Step 2: Convert to fraction form
    23,531.38/35,301.40 = 7,737.30/x
  3. Step 3: Cross multiply
    23,531.38x = 35,301.40 × 7,737.30
  4. Step 4: Simplify right side
    23,531.38x = 273,137,502.88
  5. Step 5: Solve for x
    x = 273,137,502.88/23,531.38
  6. Step 6: Final answer
    x = 11,607.37

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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.