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Finding the Fourth Proportional to 16,551.92, 24,832 and 4,865.14

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Solution

The fourth proportional to 16,551.92, 24,832 and 4,865.14 is: 7,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551.92 : 24,832 = 4,865.14 : x
  2. Step 2: Convert to fraction form
    16,551.92/24,832 = 4,865.14/x
  3. Step 3: Cross multiply
    16,551.92x = 24,832 × 4,865.14
  4. Step 4: Simplify right side
    16,551.92x = 120,811,156.48
  5. Step 5: Solve for x
    x = 120,811,156.48/16,551.92
  6. Step 6: Final answer
    x = 7,298.92

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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.