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Finding the Fourth Proportional to 17,906.20, 24,706.65 and 10,832.47

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Solution

The fourth proportional to 17,906.20, 24,706.65 and 10,832.47 is: 14,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.20 : 24,706.65 = 10,832.47 : x
  2. Step 2: Convert to fraction form
    17,906.20/24,706.65 = 10,832.47/x
  3. Step 3: Cross multiply
    17,906.20x = 24,706.65 × 10,832.47
  4. Step 4: Simplify right side
    17,906.20x = 267,634,044.93
  5. Step 5: Solve for x
    x = 267,634,044.93/17,906.20
  6. Step 6: Final answer
    x = 14,946.45

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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.