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Finding the Fourth Proportional to 12,026.50, 18,006.82 and 9,952.48

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Solution

The fourth proportional to 12,026.50, 18,006.82 and 9,952.48 is: 14,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.50 : 18,006.82 = 9,952.48 : x
  2. Step 2: Convert to fraction form
    12,026.50/18,006.82 = 9,952.48/x
  3. Step 3: Cross multiply
    12,026.50x = 18,006.82 × 9,952.48
  4. Step 4: Simplify right side
    12,026.50x = 179,212,515.91
  5. Step 5: Solve for x
    x = 179,212,515.91/12,026.50
  6. Step 6: Final answer
    x = 14,901.47

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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.