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Finding the Fourth Proportional to 12,729.68, 17,566.17 and 7,690.93

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Solution

The fourth proportional to 12,729.68, 17,566.17 and 7,690.93 is: 10,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.68 : 17,566.17 = 7,690.93 : x
  2. Step 2: Convert to fraction form
    12,729.68/17,566.17 = 7,690.93/x
  3. Step 3: Cross multiply
    12,729.68x = 17,566.17 × 7,690.93
  4. Step 4: Simplify right side
    12,729.68x = 135,100,139.92
  5. Step 5: Solve for x
    x = 135,100,139.92/12,729.68
  6. Step 6: Final answer
    x = 10,613.00

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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.