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Finding the Fourth Proportional to 23,569.44, 35,348.67 and 10,414.62

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Solution

The fourth proportional to 23,569.44, 35,348.67 and 10,414.62 is: 15,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569.44 : 35,348.67 = 10,414.62 : x
  2. Step 2: Convert to fraction form
    23,569.44/35,348.67 = 10,414.62/x
  3. Step 3: Cross multiply
    23,569.44x = 35,348.67 × 10,414.62
  4. Step 4: Simplify right side
    23,569.44x = 368,142,965.56
  5. Step 5: Solve for x
    x = 368,142,965.56/23,569.44
  6. Step 6: Final answer
    x = 15,619.50

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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.