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Finding the Fourth Proportional to 13,828, 20,742 and 4,594

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Solution

The fourth proportional to 13,828, 20,742 and 4,594 is: 6,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 20,742 = 4,594 : x
  2. Step 2: Convert to fraction form
    13,828/20,742 = 4,594/x
  3. Step 3: Cross multiply
    13,828x = 20,742 × 4,594
  4. Step 4: Simplify right side
    13,828x = 95,288,748
  5. Step 5: Solve for x
    x = 95,288,748/13,828
  6. Step 6: Final answer
    x = 6,891

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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.