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Finding the Fourth Proportional to 22,548.51, 33,805.68 and 13,662

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Solution

The fourth proportional to 22,548.51, 33,805.68 and 13,662 is: 20,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.51 : 33,805.68 = 13,662 : x
  2. Step 2: Convert to fraction form
    22,548.51/33,805.68 = 13,662/x
  3. Step 3: Cross multiply
    22,548.51x = 33,805.68 × 13,662
  4. Step 4: Simplify right side
    22,548.51x = 461,853,200.16
  5. Step 5: Solve for x
    x = 461,853,200.16/22,548.51
  6. Step 6: Final answer
    x = 20,482.65

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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.