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Finding the Fourth Proportional to 22,876.48, 34,286.46 and 13,507

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Solution

The fourth proportional to 22,876.48, 34,286.46 and 13,507 is: 20,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.48 : 34,286.46 = 13,507 : x
  2. Step 2: Convert to fraction form
    22,876.48/34,286.46 = 13,507/x
  3. Step 3: Cross multiply
    22,876.48x = 34,286.46 × 13,507
  4. Step 4: Simplify right side
    22,876.48x = 463,107,215.22
  5. Step 5: Solve for x
    x = 463,107,215.22/22,876.48
  6. Step 6: Final answer
    x = 20,243.81

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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.