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Finding the Fourth Proportional to 23,838.90, 35,728.11 and 10,690.74

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Solution

The fourth proportional to 23,838.90, 35,728.11 and 10,690.74 is: 16,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.90 : 35,728.11 = 10,690.74 : x
  2. Step 2: Convert to fraction form
    23,838.90/35,728.11 = 10,690.74/x
  3. Step 3: Cross multiply
    23,838.90x = 35,728.11 × 10,690.74
  4. Step 4: Simplify right side
    23,838.90x = 381,959,934.70
  5. Step 5: Solve for x
    x = 381,959,934.70/23,838.90
  6. Step 6: Final answer
    x = 16,022.55

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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.