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Finding the Fourth Proportional to 23,641.42, 35,468.28 and 8,851.50

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Solution

The fourth proportional to 23,641.42, 35,468.28 and 8,851.50 is: 13,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.42 : 35,468.28 = 8,851.50 : x
  2. Step 2: Convert to fraction form
    23,641.42/35,468.28 = 8,851.50/x
  3. Step 3: Cross multiply
    23,641.42x = 35,468.28 × 8,851.50
  4. Step 4: Simplify right side
    23,641.42x = 313,947,480.42
  5. Step 5: Solve for x
    x = 313,947,480.42/23,641.42
  6. Step 6: Final answer
    x = 13,279.55

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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.