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Finding the Fourth Proportional to 23,794.16, 35,685.02 and 7,149.74

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Solution

The fourth proportional to 23,794.16, 35,685.02 and 7,149.74 is: 10,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.16 : 35,685.02 = 7,149.74 : x
  2. Step 2: Convert to fraction form
    23,794.16/35,685.02 = 7,149.74/x
  3. Step 3: Cross multiply
    23,794.16x = 35,685.02 × 7,149.74
  4. Step 4: Simplify right side
    23,794.16x = 255,138,454.34
  5. Step 5: Solve for x
    x = 255,138,454.34/23,794.16
  6. Step 6: Final answer
    x = 10,722.74

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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.