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Finding the Fourth Proportional to 12,008.96, 18,026.40 and 10,082.24

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Solution

The fourth proportional to 12,008.96, 18,026.40 and 10,082.24 is: 15,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.96 : 18,026.40 = 10,082.24 : x
  2. Step 2: Convert to fraction form
    12,008.96/18,026.40 = 10,082.24/x
  3. Step 3: Cross multiply
    12,008.96x = 18,026.40 × 10,082.24
  4. Step 4: Simplify right side
    12,008.96x = 181,746,491.14
  5. Step 5: Solve for x
    x = 181,746,491.14/12,008.96
  6. Step 6: Final answer
    x = 15,134.24

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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.