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Finding the Fourth Proportional to 18,641.49, 27,962.24 and 12,780.33

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Solution

The fourth proportional to 18,641.49, 27,962.24 and 12,780.33 is: 19,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.49 : 27,962.24 = 12,780.33 : x
  2. Step 2: Convert to fraction form
    18,641.49/27,962.24 = 12,780.33/x
  3. Step 3: Cross multiply
    18,641.49x = 27,962.24 × 12,780.33
  4. Step 4: Simplify right side
    18,641.49x = 357,366,654.74
  5. Step 5: Solve for x
    x = 357,366,654.74/18,641.49
  6. Step 6: Final answer
    x = 19,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.