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Finding the Fourth Proportional to 24,793.84, 34,215.56 and 13,463.34

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Solution

The fourth proportional to 24,793.84, 34,215.56 and 13,463.34 is: 18,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.84 : 34,215.56 = 13,463.34 : x
  2. Step 2: Convert to fraction form
    24,793.84/34,215.56 = 13,463.34/x
  3. Step 3: Cross multiply
    24,793.84x = 34,215.56 × 13,463.34
  4. Step 4: Simplify right side
    24,793.84x = 460,655,717.57
  5. Step 5: Solve for x
    x = 460,655,717.57/24,793.84
  6. Step 6: Final answer
    x = 18,579.44

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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.