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Finding the Fourth Proportional to 15,198.64, 22,806.14 and 7,407.46

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Solution

The fourth proportional to 15,198.64, 22,806.14 and 7,407.46 is: 11,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.64 : 22,806.14 = 7,407.46 : x
  2. Step 2: Convert to fraction form
    15,198.64/22,806.14 = 7,407.46/x
  3. Step 3: Cross multiply
    15,198.64x = 22,806.14 × 7,407.46
  4. Step 4: Simplify right side
    15,198.64x = 168,935,569.80
  5. Step 5: Solve for x
    x = 168,935,569.80/15,198.64
  6. Step 6: Final answer
    x = 11,115.18

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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.