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Finding the Fourth Proportional to 12,613.67, 17,406.86 and 7,311.56

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Solution

The fourth proportional to 12,613.67, 17,406.86 and 7,311.56 is: 10,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.67 : 17,406.86 = 7,311.56 : x
  2. Step 2: Convert to fraction form
    12,613.67/17,406.86 = 7,311.56/x
  3. Step 3: Cross multiply
    12,613.67x = 17,406.86 × 7,311.56
  4. Step 4: Simplify right side
    12,613.67x = 127,271,301.30
  5. Step 5: Solve for x
    x = 127,271,301.30/12,613.67
  6. Step 6: Final answer
    x = 10,089.95

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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.