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Finding the Fourth Proportional to 12,071.58, 16,636.23 and 9,414.78

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Solution

The fourth proportional to 12,071.58, 16,636.23 and 9,414.78 is: 12,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.58 : 16,636.23 = 9,414.78 : x
  2. Step 2: Convert to fraction form
    12,071.58/16,636.23 = 9,414.78/x
  3. Step 3: Cross multiply
    12,071.58x = 16,636.23 × 9,414.78
  4. Step 4: Simplify right side
    12,071.58x = 156,626,445.48
  5. Step 5: Solve for x
    x = 156,626,445.48/12,071.58
  6. Step 6: Final answer
    x = 12,974.81

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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.