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Finding the Fourth Proportional to 22,207.72, 30,642.96 and 13,258.84

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Solution

The fourth proportional to 22,207.72, 30,642.96 and 13,258.84 is: 18,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.72 : 30,642.96 = 13,258.84 : x
  2. Step 2: Convert to fraction form
    22,207.72/30,642.96 = 13,258.84/x
  3. Step 3: Cross multiply
    22,207.72x = 30,642.96 × 13,258.84
  4. Step 4: Simplify right side
    22,207.72x = 406,290,103.77
  5. Step 5: Solve for x
    x = 406,290,103.77/22,207.72
  6. Step 6: Final answer
    x = 18,294.99

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