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Finding the Fourth Proportional to 12,916.44, 17,824.53 and 7,880.31

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Solution

The fourth proportional to 12,916.44, 17,824.53 and 7,880.31 is: 10,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.44 : 17,824.53 = 7,880.31 : x
  2. Step 2: Convert to fraction form
    12,916.44/17,824.53 = 7,880.31/x
  3. Step 3: Cross multiply
    12,916.44x = 17,824.53 × 7,880.31
  4. Step 4: Simplify right side
    12,916.44x = 140,462,822.00
  5. Step 5: Solve for x
    x = 140,462,822.00/12,916.44
  6. Step 6: Final answer
    x = 10,874.73

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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.