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Finding the Fourth Proportional to 24,473.80, 36,662.10 and 14,583.70

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Solution

The fourth proportional to 24,473.80, 36,662.10 and 14,583.70 is: 21,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.80 : 36,662.10 = 14,583.70 : x
  2. Step 2: Convert to fraction form
    24,473.80/36,662.10 = 14,583.70/x
  3. Step 3: Cross multiply
    24,473.80x = 36,662.10 × 14,583.70
  4. Step 4: Simplify right side
    24,473.80x = 534,669,067.77
  5. Step 5: Solve for x
    x = 534,669,067.77/24,473.80
  6. Step 6: Final answer
    x = 21,846.59

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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.