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Finding the Fourth Proportional to 15,146.98, 20,902.79 and 8,432.46

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Solution

The fourth proportional to 15,146.98, 20,902.79 and 8,432.46 is: 11,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.98 : 20,902.79 = 8,432.46 : x
  2. Step 2: Convert to fraction form
    15,146.98/20,902.79 = 8,432.46/x
  3. Step 3: Cross multiply
    15,146.98x = 20,902.79 × 8,432.46
  4. Step 4: Simplify right side
    15,146.98x = 176,261,961.64
  5. Step 5: Solve for x
    x = 176,261,961.64/15,146.98
  6. Step 6: Final answer
    x = 11,636.77

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