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Finding the Fourth Proportional to 22,902.84, 31,612.14 and 13,474.44

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Solution

The fourth proportional to 22,902.84, 31,612.14 and 13,474.44 is: 18,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.84 : 31,612.14 = 13,474.44 : x
  2. Step 2: Convert to fraction form
    22,902.84/31,612.14 = 13,474.44/x
  3. Step 3: Cross multiply
    22,902.84x = 31,612.14 × 13,474.44
  4. Step 4: Simplify right side
    22,902.84x = 425,955,883.70
  5. Step 5: Solve for x
    x = 425,955,883.70/22,902.84
  6. Step 6: Final answer
    x = 18,598.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.