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Finding the Fourth Proportional to 22,527.32, 33,768.91 and 12,536.83

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Solution

The fourth proportional to 22,527.32, 33,768.91 and 12,536.83 is: 18,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.32 : 33,768.91 = 12,536.83 : x
  2. Step 2: Convert to fraction form
    22,527.32/33,768.91 = 12,536.83/x
  3. Step 3: Cross multiply
    22,527.32x = 33,768.91 × 12,536.83
  4. Step 4: Simplify right side
    22,527.32x = 423,355,052.61
  5. Step 5: Solve for x
    x = 423,355,052.61/22,527.32
  6. Step 6: Final answer
    x = 18,792.96

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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.