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Finding the Fourth Proportional to 22,302, 33,433.92 and 9,146.16

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Solution

The fourth proportional to 22,302, 33,433.92 and 9,146.16 is: 13,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 33,433.92 = 9,146.16 : x
  2. Step 2: Convert to fraction form
    22,302/33,433.92 = 9,146.16/x
  3. Step 3: Cross multiply
    22,302x = 33,433.92 × 9,146.16
  4. Step 4: Simplify right side
    22,302x = 305,791,981.75
  5. Step 5: Solve for x
    x = 305,791,981.75/22,302
  6. Step 6: Final answer
    x = 13,711.42

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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.