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Finding the Fourth Proportional to 23,531.14, 35,301.08 and 7,737.05

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Solution

The fourth proportional to 23,531.14, 35,301.08 and 7,737.05 is: 11,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.14 : 35,301.08 = 7,737.05 : x
  2. Step 2: Convert to fraction form
    23,531.14/35,301.08 = 7,737.05/x
  3. Step 3: Cross multiply
    23,531.14x = 35,301.08 × 7,737.05
  4. Step 4: Simplify right side
    23,531.14x = 273,126,270.58
  5. Step 5: Solve for x
    x = 273,126,270.58/23,531.14
  6. Step 6: Final answer
    x = 11,607.02

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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.