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Finding the Fourth Proportional to 23,512.86, 32,448.68 and 12,902.87

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Solution

The fourth proportional to 23,512.86, 32,448.68 and 12,902.87 is: 17,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.86 : 32,448.68 = 12,902.87 : x
  2. Step 2: Convert to fraction form
    23,512.86/32,448.68 = 12,902.87/x
  3. Step 3: Cross multiply
    23,512.86x = 32,448.68 × 12,902.87
  4. Step 4: Simplify right side
    23,512.86x = 418,681,099.71
  5. Step 5: Solve for x
    x = 418,681,099.71/23,512.86
  6. Step 6: Final answer
    x = 17,806.47

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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.