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Finding the Fourth Proportional to 12,916.15, 17,819.70 and 8,442.48

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Solution

The fourth proportional to 12,916.15, 17,819.70 and 8,442.48 is: 11,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.15 : 17,819.70 = 8,442.48 : x
  2. Step 2: Convert to fraction form
    12,916.15/17,819.70 = 8,442.48/x
  3. Step 3: Cross multiply
    12,916.15x = 17,819.70 × 8,442.48
  4. Step 4: Simplify right side
    12,916.15x = 150,442,460.86
  5. Step 5: Solve for x
    x = 150,442,460.86/12,916.15
  6. Step 6: Final answer
    x = 11,647.62

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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.