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Finding the Fourth Proportional to 12,916.68, 17,824.23 and 7,250.46

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Solution

The fourth proportional to 12,916.68, 17,824.23 and 7,250.46 is: 10,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.68 : 17,824.23 = 7,250.46 : x
  2. Step 2: Convert to fraction form
    12,916.68/17,824.23 = 7,250.46/x
  3. Step 3: Cross multiply
    12,916.68x = 17,824.23 × 7,250.46
  4. Step 4: Simplify right side
    12,916.68x = 129,233,866.65
  5. Step 5: Solve for x
    x = 129,233,866.65/12,916.68
  6. Step 6: Final answer
    x = 10,005.19

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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.