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Finding the Fourth Proportional to 24,376.41, 36,550.91 and 7,733.34

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Solution

The fourth proportional to 24,376.41, 36,550.91 and 7,733.34 is: 11,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.41 : 36,550.91 = 7,733.34 : x
  2. Step 2: Convert to fraction form
    24,376.41/36,550.91 = 7,733.34/x
  3. Step 3: Cross multiply
    24,376.41x = 36,550.91 × 7,733.34
  4. Step 4: Simplify right side
    24,376.41x = 282,660,633.67
  5. Step 5: Solve for x
    x = 282,660,633.67/24,376.41
  6. Step 6: Final answer
    x = 11,595.66

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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.