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Finding the Fourth Proportional to 12,916.18, 17,819.74 and 8,442.52

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Solution

The fourth proportional to 12,916.18, 17,819.74 and 8,442.52 is: 11,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.18 : 17,819.74 = 8,442.52 : x
  2. Step 2: Convert to fraction form
    12,916.18/17,819.74 = 8,442.52/x
  3. Step 3: Cross multiply
    12,916.18x = 17,819.74 × 8,442.52
  4. Step 4: Simplify right side
    12,916.18x = 150,443,445.69
  5. Step 5: Solve for x
    x = 150,443,445.69/12,916.18
  6. Step 6: Final answer
    x = 11,647.68

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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.