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Finding the Fourth Proportional to 12,613.87, 17,407.14 and 7,311.76

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Solution

The fourth proportional to 12,613.87, 17,407.14 and 7,311.76 is: 10,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.87 : 17,407.14 = 7,311.76 : x
  2. Step 2: Convert to fraction form
    12,613.87/17,407.14 = 7,311.76/x
  3. Step 3: Cross multiply
    12,613.87x = 17,407.14 × 7,311.76
  4. Step 4: Simplify right side
    12,613.87x = 127,276,891.76
  5. Step 5: Solve for x
    x = 127,276,891.76/12,613.87
  6. Step 6: Final answer
    x = 10,090.23

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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.