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Finding the Fourth Proportional to 18,778.96, 28,176 and 7,095.52

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Solution

The fourth proportional to 18,778.96, 28,176 and 7,095.52 is: 10,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.96 : 28,176 = 7,095.52 : x
  2. Step 2: Convert to fraction form
    18,778.96/28,176 = 7,095.52/x
  3. Step 3: Cross multiply
    18,778.96x = 28,176 × 7,095.52
  4. Step 4: Simplify right side
    18,778.96x = 199,923,371.52
  5. Step 5: Solve for x
    x = 199,923,371.52/18,778.96
  6. Step 6: Final answer
    x = 10,646.14

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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.