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Finding the Fourth Proportional to 24,370.84, 36,550.65 and 7,727.77

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Solution

The fourth proportional to 24,370.84, 36,550.65 and 7,727.77 is: 11,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.84 : 36,550.65 = 7,727.77 : x
  2. Step 2: Convert to fraction form
    24,370.84/36,550.65 = 7,727.77/x
  3. Step 3: Cross multiply
    24,370.84x = 36,550.65 × 7,727.77
  4. Step 4: Simplify right side
    24,370.84x = 282,455,016.55
  5. Step 5: Solve for x
    x = 282,455,016.55/24,370.84
  6. Step 6: Final answer
    x = 11,589.88

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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.