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Finding the Fourth Proportional to 23,357.84, 32,233.68 and 12,747.44

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Solution

The fourth proportional to 23,357.84, 32,233.68 and 12,747.44 is: 17,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.84 : 32,233.68 = 12,747.44 : x
  2. Step 2: Convert to fraction form
    23,357.84/32,233.68 = 12,747.44/x
  3. Step 3: Cross multiply
    23,357.84x = 32,233.68 × 12,747.44
  4. Step 4: Simplify right side
    23,357.84x = 410,896,740.61
  5. Step 5: Solve for x
    x = 410,896,740.61/23,357.84
  6. Step 6: Final answer
    x = 17,591.39

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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.