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Finding the Fourth Proportional to 22,301.96, 30,772.34 and 13,225.64

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Solution

The fourth proportional to 22,301.96, 30,772.34 and 13,225.64 is: 18,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.96 : 30,772.34 = 13,225.64 : x
  2. Step 2: Convert to fraction form
    22,301.96/30,772.34 = 13,225.64/x
  3. Step 3: Cross multiply
    22,301.96x = 30,772.34 × 13,225.64
  4. Step 4: Simplify right side
    22,301.96x = 406,983,890.80
  5. Step 5: Solve for x
    x = 406,983,890.80/22,301.96
  6. Step 6: Final answer
    x = 18,248.79

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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.