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Finding the Fourth Proportional to 13,877.92, 20,816.52 and 6,478.30

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Solution

The fourth proportional to 13,877.92, 20,816.52 and 6,478.30 is: 9,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.92 : 20,816.52 = 6,478.30 : x
  2. Step 2: Convert to fraction form
    13,877.92/20,816.52 = 6,478.30/x
  3. Step 3: Cross multiply
    13,877.92x = 20,816.52 × 6,478.30
  4. Step 4: Simplify right side
    13,877.92x = 134,855,661.52
  5. Step 5: Solve for x
    x = 134,855,661.52/13,877.92
  6. Step 6: Final answer
    x = 9,717.28

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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.