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Finding the Fourth Proportional to 26,916.88, 40,380.72 and 9,382

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Solution

The fourth proportional to 26,916.88, 40,380.72 and 9,382 is: 14,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916.88 : 40,380.72 = 9,382 : x
  2. Step 2: Convert to fraction form
    26,916.88/40,380.72 = 9,382/x
  3. Step 3: Cross multiply
    26,916.88x = 40,380.72 × 9,382
  4. Step 4: Simplify right side
    26,916.88x = 378,851,915.04
  5. Step 5: Solve for x
    x = 378,851,915.04/26,916.88
  6. Step 6: Final answer
    x = 14,074.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.