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Finding the Fourth Proportional to 19,132.74, 28,695.87 and 5,278.50

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Solution

The fourth proportional to 19,132.74, 28,695.87 and 5,278.50 is: 7,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132.74 : 28,695.87 = 5,278.50 : x
  2. Step 2: Convert to fraction form
    19,132.74/28,695.87 = 5,278.50/x
  3. Step 3: Cross multiply
    19,132.74x = 28,695.87 × 5,278.50
  4. Step 4: Simplify right side
    19,132.74x = 151,471,149.80
  5. Step 5: Solve for x
    x = 151,471,149.80/19,132.74
  6. Step 6: Final answer
    x = 7,916.86

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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.