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Finding the Fourth Proportional to 18,778.50, 28,177.47 and 9,544.50

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Solution

The fourth proportional to 18,778.50, 28,177.47 and 9,544.50 is: 14,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.50 : 28,177.47 = 9,544.50 : x
  2. Step 2: Convert to fraction form
    18,778.50/28,177.47 = 9,544.50/x
  3. Step 3: Cross multiply
    18,778.50x = 28,177.47 × 9,544.50
  4. Step 4: Simplify right side
    18,778.50x = 268,939,862.42
  5. Step 5: Solve for x
    x = 268,939,862.42/18,778.50
  6. Step 6: Final answer
    x = 14,321.69

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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.