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Finding the Fourth Proportional to 18,034.16, 24,894.09 and 16,142.40

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Solution

The fourth proportional to 18,034.16, 24,894.09 and 16,142.40 is: 22,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.16 : 24,894.09 = 16,142.40 : x
  2. Step 2: Convert to fraction form
    18,034.16/24,894.09 = 16,142.40/x
  3. Step 3: Cross multiply
    18,034.16x = 24,894.09 × 16,142.40
  4. Step 4: Simplify right side
    18,034.16x = 401,850,358.42
  5. Step 5: Solve for x
    x = 401,850,358.42/18,034.16
  6. Step 6: Final answer
    x = 22,282.74

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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.