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Finding the Fourth Proportional to 24,197.50, 36,296.34 and 8,615.08

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Solution

The fourth proportional to 24,197.50, 36,296.34 and 8,615.08 is: 12,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.50 : 36,296.34 = 8,615.08 : x
  2. Step 2: Convert to fraction form
    24,197.50/36,296.34 = 8,615.08/x
  3. Step 3: Cross multiply
    24,197.50x = 36,296.34 × 8,615.08
  4. Step 4: Simplify right side
    24,197.50x = 312,695,872.81
  5. Step 5: Solve for x
    x = 312,695,872.81/24,197.50
  6. Step 6: Final answer
    x = 12,922.65

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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.