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Finding the Fourth Proportional to 17,689.36, 24,398.76 and 10,967.80

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Solution

The fourth proportional to 17,689.36, 24,398.76 and 10,967.80 is: 15,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.36 : 24,398.76 = 10,967.80 : x
  2. Step 2: Convert to fraction form
    17,689.36/24,398.76 = 10,967.80/x
  3. Step 3: Cross multiply
    17,689.36x = 24,398.76 × 10,967.80
  4. Step 4: Simplify right side
    17,689.36x = 267,600,719.93
  5. Step 5: Solve for x
    x = 267,600,719.93/17,689.36
  6. Step 6: Final answer
    x = 15,127.78

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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.