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Finding the Fourth Proportional to 20,870.82, 31,267 and 10,328.61

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Solution

The fourth proportional to 20,870.82, 31,267 and 10,328.61 is: 15,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.82 : 31,267 = 10,328.61 : x
  2. Step 2: Convert to fraction form
    20,870.82/31,267 = 10,328.61/x
  3. Step 3: Cross multiply
    20,870.82x = 31,267 × 10,328.61
  4. Step 4: Simplify right side
    20,870.82x = 322,944,648.87
  5. Step 5: Solve for x
    x = 322,944,648.87/20,870.82
  6. Step 6: Final answer
    x = 15,473.50

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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.