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Finding the Fourth Proportional to 12,024.50, 18,003.82 and 9,950.48

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Solution

The fourth proportional to 12,024.50, 18,003.82 and 9,950.48 is: 14,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.50 : 18,003.82 = 9,950.48 : x
  2. Step 2: Convert to fraction form
    12,024.50/18,003.82 = 9,950.48/x
  3. Step 3: Cross multiply
    12,024.50x = 18,003.82 × 9,950.48
  4. Step 4: Simplify right side
    12,024.50x = 179,146,650.83
  5. Step 5: Solve for x
    x = 179,146,650.83/12,024.50
  6. Step 6: Final answer
    x = 14,898.47

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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.