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Finding the Fourth Proportional to 24,605.66, 36,885.78 and 9,811

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Solution

The fourth proportional to 24,605.66, 36,885.78 and 9,811 is: 14,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.66 : 36,885.78 = 9,811 : x
  2. Step 2: Convert to fraction form
    24,605.66/36,885.78 = 9,811/x
  3. Step 3: Cross multiply
    24,605.66x = 36,885.78 × 9,811
  4. Step 4: Simplify right side
    24,605.66x = 361,886,387.58
  5. Step 5: Solve for x
    x = 361,886,387.58/24,605.66
  6. Step 6: Final answer
    x = 14,707.44

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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.