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Finding the Fourth Proportional to 17,142.54, 23,655.15 and 10,854.78

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Solution

The fourth proportional to 17,142.54, 23,655.15 and 10,854.78 is: 14,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.54 : 23,655.15 = 10,854.78 : x
  2. Step 2: Convert to fraction form
    17,142.54/23,655.15 = 10,854.78/x
  3. Step 3: Cross multiply
    17,142.54x = 23,655.15 × 10,854.78
  4. Step 4: Simplify right side
    17,142.54x = 256,771,449.12
  5. Step 5: Solve for x
    x = 256,771,449.12/17,142.54
  6. Step 6: Final answer
    x = 14,978.61

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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.