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Finding the Fourth Proportional to 13,864.76, 20,789.53 and 6,829.30

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Solution

The fourth proportional to 13,864.76, 20,789.53 and 6,829.30 is: 10,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.76 : 20,789.53 = 6,829.30 : x
  2. Step 2: Convert to fraction form
    13,864.76/20,789.53 = 6,829.30/x
  3. Step 3: Cross multiply
    13,864.76x = 20,789.53 × 6,829.30
  4. Step 4: Simplify right side
    13,864.76x = 141,977,937.23
  5. Step 5: Solve for x
    x = 141,977,937.23/13,864.76
  6. Step 6: Final answer
    x = 10,240.20

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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.