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Finding the Fourth Proportional to 24,604.66, 36,884.28 and 9,810

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Solution

The fourth proportional to 24,604.66, 36,884.28 and 9,810 is: 14,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.66 : 36,884.28 = 9,810 : x
  2. Step 2: Convert to fraction form
    24,604.66/36,884.28 = 9,810/x
  3. Step 3: Cross multiply
    24,604.66x = 36,884.28 × 9,810
  4. Step 4: Simplify right side
    24,604.66x = 361,834,786.80
  5. Step 5: Solve for x
    x = 361,834,786.80/24,604.66
  6. Step 6: Final answer
    x = 14,705.95

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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.