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Finding the Fourth Proportional to 15,298.13, 22,949.02 and 5,438.41

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Solution

The fourth proportional to 15,298.13, 22,949.02 and 5,438.41 is: 8,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.13 : 22,949.02 = 5,438.41 : x
  2. Step 2: Convert to fraction form
    15,298.13/22,949.02 = 5,438.41/x
  3. Step 3: Cross multiply
    15,298.13x = 22,949.02 × 5,438.41
  4. Step 4: Simplify right side
    15,298.13x = 124,806,129.28
  5. Step 5: Solve for x
    x = 124,806,129.28/15,298.13
  6. Step 6: Final answer
    x = 8,158.26

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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.