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Finding the Fourth Proportional to 16,125, 24,187.50 and 5,736.78

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Solution

The fourth proportional to 16,125, 24,187.50 and 5,736.78 is: 8,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125 : 24,187.50 = 5,736.78 : x
  2. Step 2: Convert to fraction form
    16,125/24,187.50 = 5,736.78/x
  3. Step 3: Cross multiply
    16,125x = 24,187.50 × 5,736.78
  4. Step 4: Simplify right side
    16,125x = 138,758,366.25
  5. Step 5: Solve for x
    x = 138,758,366.25/16,125
  6. Step 6: Final answer
    x = 8,605.17

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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.