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Finding the Fourth Proportional to 14,959.50, 22,382.82 and 8,933.24

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Solution

The fourth proportional to 14,959.50, 22,382.82 and 8,933.24 is: 13,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.50 : 22,382.82 = 8,933.24 : x
  2. Step 2: Convert to fraction form
    14,959.50/22,382.82 = 8,933.24/x
  3. Step 3: Cross multiply
    14,959.50x = 22,382.82 × 8,933.24
  4. Step 4: Simplify right side
    14,959.50x = 199,950,991.02
  5. Step 5: Solve for x
    x = 199,950,991.02/14,959.50
  6. Step 6: Final answer
    x = 13,366.15

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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.