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Finding the Fourth Proportional to 13,139.68, 19,693.02 and 6,567.70

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Solution

The fourth proportional to 13,139.68, 19,693.02 and 6,567.70 is: 9,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.68 : 19,693.02 = 6,567.70 : x
  2. Step 2: Convert to fraction form
    13,139.68/19,693.02 = 6,567.70/x
  3. Step 3: Cross multiply
    13,139.68x = 19,693.02 × 6,567.70
  4. Step 4: Simplify right side
    13,139.68x = 129,337,847.45
  5. Step 5: Solve for x
    x = 129,337,847.45/13,139.68
  6. Step 6: Final answer
    x = 9,843.30

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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.