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Finding the Fourth Proportional to 16,347.72, 24,525 and 5,255.13

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Solution

The fourth proportional to 16,347.72, 24,525 and 5,255.13 is: 7,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.72 : 24,525 = 5,255.13 : x
  2. Step 2: Convert to fraction form
    16,347.72/24,525 = 5,255.13/x
  3. Step 3: Cross multiply
    16,347.72x = 24,525 × 5,255.13
  4. Step 4: Simplify right side
    16,347.72x = 128,882,063.25
  5. Step 5: Solve for x
    x = 128,882,063.25/16,347.72
  6. Step 6: Final answer
    x = 7,883.79

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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.