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Finding the Fourth Proportional to 13,567.70, 20,358.50 and 6,459.98

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Solution

The fourth proportional to 13,567.70, 20,358.50 and 6,459.98 is: 9,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.70 : 20,358.50 = 6,459.98 : x
  2. Step 2: Convert to fraction form
    13,567.70/20,358.50 = 6,459.98/x
  3. Step 3: Cross multiply
    13,567.70x = 20,358.50 × 6,459.98
  4. Step 4: Simplify right side
    13,567.70x = 131,515,576.85
  5. Step 5: Solve for x
    x = 131,515,576.85/13,567.70
  6. Step 6: Final answer
    x = 9,693.28

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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.