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Finding the Fourth Proportional to 13,882.08, 20,829.95 and 6,485.47

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Solution

The fourth proportional to 13,882.08, 20,829.95 and 6,485.47 is: 9,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.08 : 20,829.95 = 6,485.47 : x
  2. Step 2: Convert to fraction form
    13,882.08/20,829.95 = 6,485.47/x
  3. Step 3: Cross multiply
    13,882.08x = 20,829.95 × 6,485.47
  4. Step 4: Simplify right side
    13,882.08x = 135,092,015.83
  5. Step 5: Solve for x
    x = 135,092,015.83/13,882.08
  6. Step 6: Final answer
    x = 9,731.40

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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.