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Finding the Fourth Proportional to 13,832, 20,748 and 4,598

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Solution

The fourth proportional to 13,832, 20,748 and 4,598 is: 6,897

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 20,748 = 4,598 : x
  2. Step 2: Convert to fraction form
    13,832/20,748 = 4,598/x
  3. Step 3: Cross multiply
    13,832x = 20,748 × 4,598
  4. Step 4: Simplify right side
    13,832x = 95,399,304
  5. Step 5: Solve for x
    x = 95,399,304/13,832
  6. Step 6: Final answer
    x = 6,897

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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.