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Finding the Fourth Proportional to 23,638.32, 35,458.56 and 8,843.40

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Solution

The fourth proportional to 23,638.32, 35,458.56 and 8,843.40 is: 13,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.32 : 35,458.56 = 8,843.40 : x
  2. Step 2: Convert to fraction form
    23,638.32/35,458.56 = 8,843.40/x
  3. Step 3: Cross multiply
    23,638.32x = 35,458.56 × 8,843.40
  4. Step 4: Simplify right side
    23,638.32x = 313,574,229.50
  5. Step 5: Solve for x
    x = 313,574,229.50/23,638.32
  6. Step 6: Final answer
    x = 13,265.50

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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.