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Finding the Fourth Proportional to 15,172.54, 20,938.02 and 8,458.22

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Solution

The fourth proportional to 15,172.54, 20,938.02 and 8,458.22 is: 11,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.54 : 20,938.02 = 8,458.22 : x
  2. Step 2: Convert to fraction form
    15,172.54/20,938.02 = 8,458.22/x
  3. Step 3: Cross multiply
    15,172.54x = 20,938.02 × 8,458.22
  4. Step 4: Simplify right side
    15,172.54x = 177,098,423.94
  5. Step 5: Solve for x
    x = 177,098,423.94/15,172.54
  6. Step 6: Final answer
    x = 11,672.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.