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Finding the Fourth Proportional to 24,616.88, 36,925.92 and 8,823

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Solution

The fourth proportional to 24,616.88, 36,925.92 and 8,823 is: 13,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.88 : 36,925.92 = 8,823 : x
  2. Step 2: Convert to fraction form
    24,616.88/36,925.92 = 8,823/x
  3. Step 3: Cross multiply
    24,616.88x = 36,925.92 × 8,823
  4. Step 4: Simplify right side
    24,616.88x = 325,797,392.16
  5. Step 5: Solve for x
    x = 325,797,392.16/24,616.88
  6. Step 6: Final answer
    x = 13,234.72

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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.