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Finding the Fourth Proportional to 15,142.32, 20,894.10 and 8,681.04

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Solution

The fourth proportional to 15,142.32, 20,894.10 and 8,681.04 is: 11,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.32 : 20,894.10 = 8,681.04 : x
  2. Step 2: Convert to fraction form
    15,142.32/20,894.10 = 8,681.04/x
  3. Step 3: Cross multiply
    15,142.32x = 20,894.10 × 8,681.04
  4. Step 4: Simplify right side
    15,142.32x = 181,382,517.86
  5. Step 5: Solve for x
    x = 181,382,517.86/15,142.32
  6. Step 6: Final answer
    x = 11,978.52

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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.