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Finding the Fourth Proportional to 24,272.98, 36,411.05 and 7,633.66

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Solution

The fourth proportional to 24,272.98, 36,411.05 and 7,633.66 is: 11,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272.98 : 36,411.05 = 7,633.66 : x
  2. Step 2: Convert to fraction form
    24,272.98/36,411.05 = 7,633.66/x
  3. Step 3: Cross multiply
    24,272.98x = 36,411.05 × 7,633.66
  4. Step 4: Simplify right side
    24,272.98x = 277,949,572.27
  5. Step 5: Solve for x
    x = 277,949,572.27/24,272.98
  6. Step 6: Final answer
    x = 11,450.99

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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.