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Finding the Fourth Proportional to 12,916.87, 17,820.69 and 8,443.20

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Solution

The fourth proportional to 12,916.87, 17,820.69 and 8,443.20 is: 11,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.87 : 17,820.69 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    12,916.87/17,820.69 = 8,443.20/x
  3. Step 3: Cross multiply
    12,916.87x = 17,820.69 × 8,443.20
  4. Step 4: Simplify right side
    12,916.87x = 150,463,649.81
  5. Step 5: Solve for x
    x = 150,463,649.81/12,916.87
  6. Step 6: Final answer
    x = 11,648.62

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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.