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Finding the Fourth Proportional to 23,454.90, 35,182.71 and 7,872.66

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Solution

The fourth proportional to 23,454.90, 35,182.71 and 7,872.66 is: 11,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.90 : 35,182.71 = 7,872.66 : x
  2. Step 2: Convert to fraction form
    23,454.90/35,182.71 = 7,872.66/x
  3. Step 3: Cross multiply
    23,454.90x = 35,182.71 × 7,872.66
  4. Step 4: Simplify right side
    23,454.90x = 276,981,513.71
  5. Step 5: Solve for x
    x = 276,981,513.71/23,454.90
  6. Step 6: Final answer
    x = 11,809.11

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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.