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Finding the Fourth Proportional to 16,187.78, 24,275.28 and 7,865.33

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Solution

The fourth proportional to 16,187.78, 24,275.28 and 7,865.33 is: 11,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.78 : 24,275.28 = 7,865.33 : x
  2. Step 2: Convert to fraction form
    16,187.78/24,275.28 = 7,865.33/x
  3. Step 3: Cross multiply
    16,187.78x = 24,275.28 × 7,865.33
  4. Step 4: Simplify right side
    16,187.78x = 190,933,132.71
  5. Step 5: Solve for x
    x = 190,933,132.71/16,187.78
  6. Step 6: Final answer
    x = 11,794.90

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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.