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Finding the Fourth Proportional to 34,023.87, 51,041.28 and 11,843.55

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Solution

The fourth proportional to 34,023.87, 51,041.28 and 11,843.55 is: 17,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.87 : 51,041.28 = 11,843.55 : x
  2. Step 2: Convert to fraction form
    34,023.87/51,041.28 = 11,843.55/x
  3. Step 3: Cross multiply
    34,023.87x = 51,041.28 × 11,843.55
  4. Step 4: Simplify right side
    34,023.87x = 604,509,951.74
  5. Step 5: Solve for x
    x = 604,509,951.74/34,023.87
  6. Step 6: Final answer
    x = 17,767.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.