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Finding the Fourth Proportional to 23.37, 35.06 and 9.84

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Solution

The fourth proportional to 23.37, 35.06 and 9.84 is: 14.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.37 : 35.06 = 9.84 : x
  2. Step 2: Convert to fraction form
    23.37/35.06 = 9.84/x
  3. Step 3: Cross multiply
    23.37x = 35.06 × 9.84
  4. Step 4: Simplify right side
    23.37x = 345.13
  5. Step 5: Solve for x
    x = 345.13/23.37
  6. Step 6: Final answer
    x = 14.77

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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.