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Finding the Fourth Proportional to 23.53, 32.46 and 15.35

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Solution

The fourth proportional to 23.53, 32.46 and 15.35 is: 21.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.53 : 32.46 = 15.35 : x
  2. Step 2: Convert to fraction form
    23.53/32.46 = 15.35/x
  3. Step 3: Cross multiply
    23.53x = 32.46 × 15.35
  4. Step 4: Simplify right side
    23.53x = 498.10
  5. Step 5: Solve for x
    x = 498.10/23.53
  6. Step 6: Final answer
    x = 21.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.