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Finding the Fourth Proportional to 13,459.62, 20,189.45 and 6,437.98

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Solution

The fourth proportional to 13,459.62, 20,189.45 and 6,437.98 is: 9,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.62 : 20,189.45 = 6,437.98 : x
  2. Step 2: Convert to fraction form
    13,459.62/20,189.45 = 6,437.98/x
  3. Step 3: Cross multiply
    13,459.62x = 20,189.45 × 6,437.98
  4. Step 4: Simplify right side
    13,459.62x = 129,979,275.31
  5. Step 5: Solve for x
    x = 129,979,275.31/13,459.62
  6. Step 6: Final answer
    x = 9,656.98

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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.