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Finding the Fourth Proportional to 23,055, 34,582.50 and 8,264.82

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Solution

The fourth proportional to 23,055, 34,582.50 and 8,264.82 is: 12,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055 : 34,582.50 = 8,264.82 : x
  2. Step 2: Convert to fraction form
    23,055/34,582.50 = 8,264.82/x
  3. Step 3: Cross multiply
    23,055x = 34,582.50 × 8,264.82
  4. Step 4: Simplify right side
    23,055x = 285,818,137.65
  5. Step 5: Solve for x
    x = 285,818,137.65/23,055
  6. Step 6: Final answer
    x = 12,397.23

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Why These Related Problems?

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