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Finding the Fourth Proportional to 22,868.64, 34,283.24 and 8,838.51

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Solution

The fourth proportional to 22,868.64, 34,283.24 and 8,838.51 is: 13,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868.64 : 34,283.24 = 8,838.51 : x
  2. Step 2: Convert to fraction form
    22,868.64/34,283.24 = 8,838.51/x
  3. Step 3: Cross multiply
    22,868.64x = 34,283.24 × 8,838.51
  4. Step 4: Simplify right side
    22,868.64x = 303,012,759.57
  5. Step 5: Solve for x
    x = 303,012,759.57/22,868.64
  6. Step 6: Final answer
    x = 13,250.14

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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.