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Finding the Fourth Proportional to 16,251.38, 24,358.64 and 7,468.14

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Solution

The fourth proportional to 16,251.38, 24,358.64 and 7,468.14 is: 11,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.38 : 24,358.64 = 7,468.14 : x
  2. Step 2: Convert to fraction form
    16,251.38/24,358.64 = 7,468.14/x
  3. Step 3: Cross multiply
    16,251.38x = 24,358.64 × 7,468.14
  4. Step 4: Simplify right side
    16,251.38x = 181,913,696.39
  5. Step 5: Solve for x
    x = 181,913,696.39/16,251.38
  6. Step 6: Final answer
    x = 11,193.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.