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Finding the Fourth Proportional to 24,330, 36,495.68 and 7,914

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Solution

The fourth proportional to 24,330, 36,495.68 and 7,914 is: 11,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 36,495.68 = 7,914 : x
  2. Step 2: Convert to fraction form
    24,330/36,495.68 = 7,914/x
  3. Step 3: Cross multiply
    24,330x = 36,495.68 × 7,914
  4. Step 4: Simplify right side
    24,330x = 288,826,811.52
  5. Step 5: Solve for x
    x = 288,826,811.52/24,330
  6. Step 6: Final answer
    x = 11,871.22

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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.