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Finding the Fourth Proportional to 13,877.28, 20,804.52 and 6,478.08

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Solution

The fourth proportional to 13,877.28, 20,804.52 and 6,478.08 is: 9,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.28 : 20,804.52 = 6,478.08 : x
  2. Step 2: Convert to fraction form
    13,877.28/20,804.52 = 6,478.08/x
  3. Step 3: Cross multiply
    13,877.28x = 20,804.52 × 6,478.08
  4. Step 4: Simplify right side
    13,877.28x = 134,773,344.92
  5. Step 5: Solve for x
    x = 134,773,344.92/13,877.28
  6. Step 6: Final answer
    x = 9,711.80

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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.