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Finding the Fourth Proportional to 15,053.31, 22,581.78 and 5,194.80

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Solution

The fourth proportional to 15,053.31, 22,581.78 and 5,194.80 is: 7,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053.31 : 22,581.78 = 5,194.80 : x
  2. Step 2: Convert to fraction form
    15,053.31/22,581.78 = 5,194.80/x
  3. Step 3: Cross multiply
    15,053.31x = 22,581.78 × 5,194.80
  4. Step 4: Simplify right side
    15,053.31x = 117,307,830.74
  5. Step 5: Solve for x
    x = 117,307,830.74/15,053.31
  6. Step 6: Final answer
    x = 7,792.83

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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.