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Finding the Fourth Proportional to 12,916.20, 17,824.36 and 7,250.16

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Solution

The fourth proportional to 12,916.20, 17,824.36 and 7,250.16 is: 10,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.20 : 17,824.36 = 7,250.16 : x
  2. Step 2: Convert to fraction form
    12,916.20/17,824.36 = 7,250.16/x
  3. Step 3: Cross multiply
    12,916.20x = 17,824.36 × 7,250.16
  4. Step 4: Simplify right side
    12,916.20x = 129,229,461.90
  5. Step 5: Solve for x
    x = 129,229,461.90/12,916.20
  6. Step 6: Final answer
    x = 10,005.22

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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.