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Finding the Fourth Proportional to 25,162.80, 37,743.78 and 6,442.68

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Solution

The fourth proportional to 25,162.80, 37,743.78 and 6,442.68 is: 9,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.80 : 37,743.78 = 6,442.68 : x
  2. Step 2: Convert to fraction form
    25,162.80/37,743.78 = 6,442.68/x
  3. Step 3: Cross multiply
    25,162.80x = 37,743.78 × 6,442.68
  4. Step 4: Simplify right side
    25,162.80x = 243,171,096.53
  5. Step 5: Solve for x
    x = 243,171,096.53/25,162.80
  6. Step 6: Final answer
    x = 9,663.91

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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.