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Finding the Fourth Proportional to 22,482.23, 33,723.34 and 7,691.25

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Solution

The fourth proportional to 22,482.23, 33,723.34 and 7,691.25 is: 11,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.23 : 33,723.34 = 7,691.25 : x
  2. Step 2: Convert to fraction form
    22,482.23/33,723.34 = 7,691.25/x
  3. Step 3: Cross multiply
    22,482.23x = 33,723.34 × 7,691.25
  4. Step 4: Simplify right side
    22,482.23x = 259,374,746.01
  5. Step 5: Solve for x
    x = 259,374,746.01/22,482.23
  6. Step 6: Final answer
    x = 11,536.88

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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.