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Finding the Fourth Proportional to 24,306.32, 36,466.02 and 7,667

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Solution

The fourth proportional to 24,306.32, 36,466.02 and 7,667 is: 11,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.32 : 36,466.02 = 7,667 : x
  2. Step 2: Convert to fraction form
    24,306.32/36,466.02 = 7,667/x
  3. Step 3: Cross multiply
    24,306.32x = 36,466.02 × 7,667
  4. Step 4: Simplify right side
    24,306.32x = 279,584,975.34
  5. Step 5: Solve for x
    x = 279,584,975.34/24,306.32
  6. Step 6: Final answer
    x = 11,502.56

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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.