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Finding the Fourth Proportional to 15,182.79, 22,769.74 and 5,822.11

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Solution

The fourth proportional to 15,182.79, 22,769.74 and 5,822.11 is: 8,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.79 : 22,769.74 = 5,822.11 : x
  2. Step 2: Convert to fraction form
    15,182.79/22,769.74 = 5,822.11/x
  3. Step 3: Cross multiply
    15,182.79x = 22,769.74 × 5,822.11
  4. Step 4: Simplify right side
    15,182.79x = 132,567,930.95
  5. Step 5: Solve for x
    x = 132,567,930.95/15,182.79
  6. Step 6: Final answer
    x = 8,731.46

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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.