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Finding the Fourth Proportional to 16,007.72, 24,023.82 and 7,248.78

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Solution

The fourth proportional to 16,007.72, 24,023.82 and 7,248.78 is: 10,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.72 : 24,023.82 = 7,248.78 : x
  2. Step 2: Convert to fraction form
    16,007.72/24,023.82 = 7,248.78/x
  3. Step 3: Cross multiply
    16,007.72x = 24,023.82 × 7,248.78
  4. Step 4: Simplify right side
    16,007.72x = 174,143,385.94
  5. Step 5: Solve for x
    x = 174,143,385.94/16,007.72
  6. Step 6: Final answer
    x = 10,878.72

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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.