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Finding the Fourth Proportional to 24,633.36, 36,950.28 and 9,846

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Solution

The fourth proportional to 24,633.36, 36,950.28 and 9,846 is: 14,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.36 : 36,950.28 = 9,846 : x
  2. Step 2: Convert to fraction form
    24,633.36/36,950.28 = 9,846/x
  3. Step 3: Cross multiply
    24,633.36x = 36,950.28 × 9,846
  4. Step 4: Simplify right side
    24,633.36x = 363,812,456.88
  5. Step 5: Solve for x
    x = 363,812,456.88/24,633.36
  6. Step 6: Final answer
    x = 14,769.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.