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Finding the Fourth Proportional to 23,164.66, 34,746.50 and 5,634.58

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Solution

The fourth proportional to 23,164.66, 34,746.50 and 5,634.58 is: 8,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.66 : 34,746.50 = 5,634.58 : x
  2. Step 2: Convert to fraction form
    23,164.66/34,746.50 = 5,634.58/x
  3. Step 3: Cross multiply
    23,164.66x = 34,746.50 × 5,634.58
  4. Step 4: Simplify right side
    23,164.66x = 195,781,933.97
  5. Step 5: Solve for x
    x = 195,781,933.97/23,164.66
  6. Step 6: Final answer
    x = 8,451.75

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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.