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Finding the Fourth Proportional to 12,916.02, 17,819.52 and 8,442.35

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Solution

The fourth proportional to 12,916.02, 17,819.52 and 8,442.35 is: 11,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.02 : 17,819.52 = 8,442.35 : x
  2. Step 2: Convert to fraction form
    12,916.02/17,819.52 = 8,442.35/x
  3. Step 3: Cross multiply
    12,916.02x = 17,819.52 × 8,442.35
  4. Step 4: Simplify right side
    12,916.02x = 150,438,535.57
  5. Step 5: Solve for x
    x = 150,438,535.57/12,916.02
  6. Step 6: Final answer
    x = 11,647.44

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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.