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Finding the Fourth Proportional to 18,002.16, 24,841.08 and 10,926

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Solution

The fourth proportional to 18,002.16, 24,841.08 and 10,926 is: 15,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.16 : 24,841.08 = 10,926 : x
  2. Step 2: Convert to fraction form
    18,002.16/24,841.08 = 10,926/x
  3. Step 3: Cross multiply
    18,002.16x = 24,841.08 × 10,926
  4. Step 4: Simplify right side
    18,002.16x = 271,413,640.08
  5. Step 5: Solve for x
    x = 271,413,640.08/18,002.16
  6. Step 6: Final answer
    x = 15,076.73

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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.