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Finding the Fourth Proportional to 24,219.50, 36,329.93 and 6,689.33

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Solution

The fourth proportional to 24,219.50, 36,329.93 and 6,689.33 is: 10,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.50 : 36,329.93 = 6,689.33 : x
  2. Step 2: Convert to fraction form
    24,219.50/36,329.93 = 6,689.33/x
  3. Step 3: Cross multiply
    24,219.50x = 36,329.93 × 6,689.33
  4. Step 4: Simplify right side
    24,219.50x = 243,022,725.72
  5. Step 5: Solve for x
    x = 243,022,725.72/24,219.50
  6. Step 6: Final answer
    x = 10,034.18

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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.