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Finding the Fourth Proportional to 12,046.50, 18,031.41 and 7,852.95

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Solution

The fourth proportional to 12,046.50, 18,031.41 and 7,852.95 is: 11,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.50 : 18,031.41 = 7,852.95 : x
  2. Step 2: Convert to fraction form
    12,046.50/18,031.41 = 7,852.95/x
  3. Step 3: Cross multiply
    12,046.50x = 18,031.41 × 7,852.95
  4. Step 4: Simplify right side
    12,046.50x = 141,599,761.16
  5. Step 5: Solve for x
    x = 141,599,761.16/12,046.50
  6. Step 6: Final answer
    x = 11,754.43

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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.