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Finding the Fourth Proportional to 13,438.08, 20,127.96 and 6,498

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Solution

The fourth proportional to 13,438.08, 20,127.96 and 6,498 is: 9,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.08 : 20,127.96 = 6,498 : x
  2. Step 2: Convert to fraction form
    13,438.08/20,127.96 = 6,498/x
  3. Step 3: Cross multiply
    13,438.08x = 20,127.96 × 6,498
  4. Step 4: Simplify right side
    13,438.08x = 130,791,484.08
  5. Step 5: Solve for x
    x = 130,791,484.08/13,438.08
  6. Step 6: Final answer
    x = 9,732.90

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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.