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Finding the Fourth Proportional to 19,828, 29,742 and 7,516

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Solution

The fourth proportional to 19,828, 29,742 and 7,516 is: 11,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828 : 29,742 = 7,516 : x
  2. Step 2: Convert to fraction form
    19,828/29,742 = 7,516/x
  3. Step 3: Cross multiply
    19,828x = 29,742 × 7,516
  4. Step 4: Simplify right side
    19,828x = 223,540,872
  5. Step 5: Solve for x
    x = 223,540,872/19,828
  6. Step 6: Final answer
    x = 11,274

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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.