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Finding the Fourth Proportional to 16,776.24, 25,165 and 6,248.92

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Solution

The fourth proportional to 16,776.24, 25,165 and 6,248.92 is: 9,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.24 : 25,165 = 6,248.92 : x
  2. Step 2: Convert to fraction form
    16,776.24/25,165 = 6,248.92/x
  3. Step 3: Cross multiply
    16,776.24x = 25,165 × 6,248.92
  4. Step 4: Simplify right side
    16,776.24x = 157,254,071.80
  5. Step 5: Solve for x
    x = 157,254,071.80/16,776.24
  6. Step 6: Final answer
    x = 9,373.62

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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.