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Finding the Fourth Proportional to 22,342.68, 30,825.16 and 13,265.96

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Solution

The fourth proportional to 22,342.68, 30,825.16 and 13,265.96 is: 18,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.68 : 30,825.16 = 13,265.96 : x
  2. Step 2: Convert to fraction form
    22,342.68/30,825.16 = 13,265.96/x
  3. Step 3: Cross multiply
    22,342.68x = 30,825.16 × 13,265.96
  4. Step 4: Simplify right side
    22,342.68x = 408,925,152.26
  5. Step 5: Solve for x
    x = 408,925,152.26/22,342.68
  6. Step 6: Final answer
    x = 18,302.42

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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.