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Finding the Fourth Proportional to 22,516.40, 33,742.20 and 10,026.20

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Solution

The fourth proportional to 22,516.40, 33,742.20 and 10,026.20 is: 15,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.40 : 33,742.20 = 10,026.20 : x
  2. Step 2: Convert to fraction form
    22,516.40/33,742.20 = 10,026.20/x
  3. Step 3: Cross multiply
    22,516.40x = 33,742.20 × 10,026.20
  4. Step 4: Simplify right side
    22,516.40x = 338,306,045.64
  5. Step 5: Solve for x
    x = 338,306,045.64/22,516.40
  6. Step 6: Final answer
    x = 15,024.87

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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.