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Finding the Fourth Proportional to 14.29, 19.57 and 14.24

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Solution

The fourth proportional to 14.29, 19.57 and 14.24 is: 19.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.29 : 19.57 = 14.24 : x
  2. Step 2: Convert to fraction form
    14.29/19.57 = 14.24/x
  3. Step 3: Cross multiply
    14.29x = 19.57 × 14.24
  4. Step 4: Simplify right side
    14.29x = 278.68
  5. Step 5: Solve for x
    x = 278.68/14.29
  6. Step 6: Final answer
    x = 19.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.