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Finding the Fourth Proportional to 23,217.92, 32,041.60 and 13,280

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Solution

The fourth proportional to 23,217.92, 32,041.60 and 13,280 is: 18,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.92 : 32,041.60 = 13,280 : x
  2. Step 2: Convert to fraction form
    23,217.92/32,041.60 = 13,280/x
  3. Step 3: Cross multiply
    23,217.92x = 32,041.60 × 13,280
  4. Step 4: Simplify right side
    23,217.92x = 425,512,448
  5. Step 5: Solve for x
    x = 425,512,448/23,217.92
  6. Step 6: Final answer
    x = 18,326.90

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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.