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Finding the Fourth Proportional to 20,642.84, 30,924.46 and 12,329.50

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Solution

The fourth proportional to 20,642.84, 30,924.46 and 12,329.50 is: 18,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.84 : 30,924.46 = 12,329.50 : x
  2. Step 2: Convert to fraction form
    20,642.84/30,924.46 = 12,329.50/x
  3. Step 3: Cross multiply
    20,642.84x = 30,924.46 × 12,329.50
  4. Step 4: Simplify right side
    20,642.84x = 381,283,129.57
  5. Step 5: Solve for x
    x = 381,283,129.57/20,642.84
  6. Step 6: Final answer
    x = 18,470.48

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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.