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Finding the Fourth Proportional to 13,613.98, 20,428.88 and 5,299.74

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Solution

The fourth proportional to 13,613.98, 20,428.88 and 5,299.74 is: 7,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.98 : 20,428.88 = 5,299.74 : x
  2. Step 2: Convert to fraction form
    13,613.98/20,428.88 = 5,299.74/x
  3. Step 3: Cross multiply
    13,613.98x = 20,428.88 × 5,299.74
  4. Step 4: Simplify right side
    13,613.98x = 108,267,752.49
  5. Step 5: Solve for x
    x = 108,267,752.49/13,613.98
  6. Step 6: Final answer
    x = 7,952.69

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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.