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Finding the Fourth Proportional to 24.67, 37.00 and 9.46

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Solution

The fourth proportional to 24.67, 37.00 and 9.46 is: 14.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.67 : 37.00 = 9.46 : x
  2. Step 2: Convert to fraction form
    24.67/37.00 = 9.46/x
  3. Step 3: Cross multiply
    24.67x = 37.00 × 9.46
  4. Step 4: Simplify right side
    24.67x = 349.90
  5. Step 5: Solve for x
    x = 349.90/24.67
  6. Step 6: Final answer
    x = 14.18

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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.