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Finding the Fourth Proportional to 12,613.36, 17,404.62 and 7,307.20

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Solution

The fourth proportional to 12,613.36, 17,404.62 and 7,307.20 is: 10,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.36 : 17,404.62 = 7,307.20 : x
  2. Step 2: Convert to fraction form
    12,613.36/17,404.62 = 7,307.20/x
  3. Step 3: Cross multiply
    12,613.36x = 17,404.62 × 7,307.20
  4. Step 4: Simplify right side
    12,613.36x = 127,179,039.26
  5. Step 5: Solve for x
    x = 127,179,039.26/12,613.36
  6. Step 6: Final answer
    x = 10,082.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.