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Finding the Fourth Proportional to 14.70, 22.07 and 12.84

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Solution

The fourth proportional to 14.70, 22.07 and 12.84 is: 19.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.70 : 22.07 = 12.84 : x
  2. Step 2: Convert to fraction form
    14.70/22.07 = 12.84/x
  3. Step 3: Cross multiply
    14.70x = 22.07 × 12.84
  4. Step 4: Simplify right side
    14.70x = 283.38
  5. Step 5: Solve for x
    x = 283.38/14.70
  6. Step 6: Final answer
    x = 19.28

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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.