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Finding the Fourth Proportional to 15,100.48, 22,642 and 5,855.68

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Solution

The fourth proportional to 15,100.48, 22,642 and 5,855.68 is: 8,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100.48 : 22,642 = 5,855.68 : x
  2. Step 2: Convert to fraction form
    15,100.48/22,642 = 5,855.68/x
  3. Step 3: Cross multiply
    15,100.48x = 22,642 × 5,855.68
  4. Step 4: Simplify right side
    15,100.48x = 132,584,306.56
  5. Step 5: Solve for x
    x = 132,584,306.56/15,100.48
  6. Step 6: Final answer
    x = 8,780.14

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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.