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Finding the Fourth Proportional to 16,480.48, 24,703.44 and 7,708

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Solution

The fourth proportional to 16,480.48, 24,703.44 and 7,708 is: 11,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.48 : 24,703.44 = 7,708 : x
  2. Step 2: Convert to fraction form
    16,480.48/24,703.44 = 7,708/x
  3. Step 3: Cross multiply
    16,480.48x = 24,703.44 × 7,708
  4. Step 4: Simplify right side
    16,480.48x = 190,414,115.52
  5. Step 5: Solve for x
    x = 190,414,115.52/16,480.48
  6. Step 6: Final answer
    x = 11,553.92

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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.