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Finding the Fourth Proportional to 23,172.87, 34,758.63 and 5,642.45

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Solution

The fourth proportional to 23,172.87, 34,758.63 and 5,642.45 is: 8,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.87 : 34,758.63 = 5,642.45 : x
  2. Step 2: Convert to fraction form
    23,172.87/34,758.63 = 5,642.45/x
  3. Step 3: Cross multiply
    23,172.87x = 34,758.63 × 5,642.45
  4. Step 4: Simplify right side
    23,172.87x = 196,123,629.84
  5. Step 5: Solve for x
    x = 196,123,629.84/23,172.87
  6. Step 6: Final answer
    x = 8,463.50

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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.