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Finding the Fourth Proportional to 24.47, 33.76 and 14.76

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Solution

The fourth proportional to 24.47, 33.76 and 14.76 is: 20.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.47 : 33.76 = 14.76 : x
  2. Step 2: Convert to fraction form
    24.47/33.76 = 14.76/x
  3. Step 3: Cross multiply
    24.47x = 33.76 × 14.76
  4. Step 4: Simplify right side
    24.47x = 498.06
  5. Step 5: Solve for x
    x = 498.06/24.47
  6. Step 6: Final answer
    x = 20.36

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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.