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Finding the Fourth Proportional to 12,613.62, 17,406.80 and 7,311.52

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Solution

The fourth proportional to 12,613.62, 17,406.80 and 7,311.52 is: 10,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.62 : 17,406.80 = 7,311.52 : x
  2. Step 2: Convert to fraction form
    12,613.62/17,406.80 = 7,311.52/x
  3. Step 3: Cross multiply
    12,613.62x = 17,406.80 × 7,311.52
  4. Step 4: Simplify right side
    12,613.62x = 127,270,079.30
  5. Step 5: Solve for x
    x = 127,270,079.30/12,613.62
  6. Step 6: Final answer
    x = 10,089.89

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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.