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Finding the Fourth Proportional to 13,613.63, 20,421.71 and 5,294.27

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Solution

The fourth proportional to 13,613.63, 20,421.71 and 5,294.27 is: 7,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.63 : 20,421.71 = 5,294.27 : x
  2. Step 2: Convert to fraction form
    13,613.63/20,421.71 = 5,294.27/x
  3. Step 3: Cross multiply
    13,613.63x = 20,421.71 × 5,294.27
  4. Step 4: Simplify right side
    13,613.63x = 108,118,020.13
  5. Step 5: Solve for x
    x = 108,118,020.13/13,613.63
  6. Step 6: Final answer
    x = 7,941.90

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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.