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Finding the Fourth Proportional to 12,916.31, 17,821.22 and 7,880.20

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Solution

The fourth proportional to 12,916.31, 17,821.22 and 7,880.20 is: 10,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.31 : 17,821.22 = 7,880.20 : x
  2. Step 2: Convert to fraction form
    12,916.31/17,821.22 = 7,880.20/x
  3. Step 3: Cross multiply
    12,916.31x = 17,821.22 × 7,880.20
  4. Step 4: Simplify right side
    12,916.31x = 140,434,693.89
  5. Step 5: Solve for x
    x = 140,434,693.89/12,916.31
  6. Step 6: Final answer
    x = 10,872.67

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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.