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Finding the Fourth Proportional to 13,834, 20,751.18 and 4,600

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Solution

The fourth proportional to 13,834, 20,751.18 and 4,600 is: 6,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 20,751.18 = 4,600 : x
  2. Step 2: Convert to fraction form
    13,834/20,751.18 = 4,600/x
  3. Step 3: Cross multiply
    13,834x = 20,751.18 × 4,600
  4. Step 4: Simplify right side
    13,834x = 95,455,428
  5. Step 5: Solve for x
    x = 95,455,428/13,834
  6. Step 6: Final answer
    x = 6,900.06

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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.