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Finding the Fourth Proportional to 12,916.43, 17,820.09 and 8,442.76

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Solution

The fourth proportional to 12,916.43, 17,820.09 and 8,442.76 is: 11,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.43 : 17,820.09 = 8,442.76 : x
  2. Step 2: Convert to fraction form
    12,916.43/17,820.09 = 8,442.76/x
  3. Step 3: Cross multiply
    12,916.43x = 17,820.09 × 8,442.76
  4. Step 4: Simplify right side
    12,916.43x = 150,450,743.05
  5. Step 5: Solve for x
    x = 150,450,743.05/12,916.43
  6. Step 6: Final answer
    x = 11,648.01

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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.