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Finding the Fourth Proportional to 12,916.01, 17,824.26 and 7,250.42

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Solution

The fourth proportional to 12,916.01, 17,824.26 and 7,250.42 is: 10,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.01 : 17,824.26 = 7,250.42 : x
  2. Step 2: Convert to fraction form
    12,916.01/17,824.26 = 7,250.42/x
  3. Step 3: Cross multiply
    12,916.01x = 17,824.26 × 7,250.42
  4. Step 4: Simplify right side
    12,916.01x = 129,233,353.94
  5. Step 5: Solve for x
    x = 129,233,353.94/12,916.01
  6. Step 6: Final answer
    x = 10,005.67

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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.