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Finding the Fourth Proportional to 15,146.90, 20,902.37 and 8,432.38

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Solution

The fourth proportional to 15,146.90, 20,902.37 and 8,432.38 is: 11,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.90 : 20,902.37 = 8,432.38 : x
  2. Step 2: Convert to fraction form
    15,146.90/20,902.37 = 8,432.38/x
  3. Step 3: Cross multiply
    15,146.90x = 20,902.37 × 8,432.38
  4. Step 4: Simplify right side
    15,146.90x = 176,256,580.07
  5. Step 5: Solve for x
    x = 176,256,580.07/15,146.90
  6. Step 6: Final answer
    x = 11,636.48

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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.