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Finding the Fourth Proportional to 16,248.96, 24,353.82 and 7,916.50

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Solution

The fourth proportional to 16,248.96, 24,353.82 and 7,916.50 is: 11,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248.96 : 24,353.82 = 7,916.50 : x
  2. Step 2: Convert to fraction form
    16,248.96/24,353.82 = 7,916.50/x
  3. Step 3: Cross multiply
    16,248.96x = 24,353.82 × 7,916.50
  4. Step 4: Simplify right side
    16,248.96x = 192,797,016.03
  5. Step 5: Solve for x
    x = 192,797,016.03/16,248.96
  6. Step 6: Final answer
    x = 11,865.19

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Why These Related Problems?

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