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Finding the Fourth Proportional to 13,613.12, 20,421.84 and 4,731.16

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Solution

The fourth proportional to 13,613.12, 20,421.84 and 4,731.16 is: 7,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.12 : 20,421.84 = 4,731.16 : x
  2. Step 2: Convert to fraction form
    13,613.12/20,421.84 = 4,731.16/x
  3. Step 3: Cross multiply
    13,613.12x = 20,421.84 × 4,731.16
  4. Step 4: Simplify right side
    13,613.12x = 96,618,968.88
  5. Step 5: Solve for x
    x = 96,618,968.88/13,613.12
  6. Step 6: Final answer
    x = 7,097.49

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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.