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Finding the Fourth Proportional to 13,613.64, 20,421.73 and 5,294.29

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Solution

The fourth proportional to 13,613.64, 20,421.73 and 5,294.29 is: 7,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.64 : 20,421.73 = 5,294.29 : x
  2. Step 2: Convert to fraction form
    13,613.64/20,421.73 = 5,294.29/x
  3. Step 3: Cross multiply
    13,613.64x = 20,421.73 × 5,294.29
  4. Step 4: Simplify right side
    13,613.64x = 108,118,560.92
  5. Step 5: Solve for x
    x = 108,118,560.92/13,613.64
  6. Step 6: Final answer
    x = 7,941.93

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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.