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Finding the Fourth Proportional to 23,737.50, 32,759.64 and 13,128.12

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Solution

The fourth proportional to 23,737.50, 32,759.64 and 13,128.12 is: 18,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.50 : 32,759.64 = 13,128.12 : x
  2. Step 2: Convert to fraction form
    23,737.50/32,759.64 = 13,128.12/x
  3. Step 3: Cross multiply
    23,737.50x = 32,759.64 × 13,128.12
  4. Step 4: Simplify right side
    23,737.50x = 430,072,485.08
  5. Step 5: Solve for x
    x = 430,072,485.08/23,737.50
  6. Step 6: Final answer
    x = 18,117.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.