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Finding the Fourth Proportional to 16,264.48, 24,399 and 5,170

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Solution

The fourth proportional to 16,264.48, 24,399 and 5,170 is: 7,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.48 : 24,399 = 5,170 : x
  2. Step 2: Convert to fraction form
    16,264.48/24,399 = 5,170/x
  3. Step 3: Cross multiply
    16,264.48x = 24,399 × 5,170
  4. Step 4: Simplify right side
    16,264.48x = 126,142,830
  5. Step 5: Solve for x
    x = 126,142,830/16,264.48
  6. Step 6: Final answer
    x = 7,755.72

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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.