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Finding the Fourth Proportional to 22,902.56, 34,371.32 and 10,256.21

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Solution

The fourth proportional to 22,902.56, 34,371.32 and 10,256.21 is: 15,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.56 : 34,371.32 = 10,256.21 : x
  2. Step 2: Convert to fraction form
    22,902.56/34,371.32 = 10,256.21/x
  3. Step 3: Cross multiply
    22,902.56x = 34,371.32 × 10,256.21
  4. Step 4: Simplify right side
    22,902.56x = 352,519,252.76
  5. Step 5: Solve for x
    x = 352,519,252.76/22,902.56
  6. Step 6: Final answer
    x = 15,392.14

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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.