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Finding the Fourth Proportional to 13,735.35, 20,603.70 and 7,174.35

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Solution

The fourth proportional to 13,735.35, 20,603.70 and 7,174.35 is: 10,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.35 : 20,603.70 = 7,174.35 : x
  2. Step 2: Convert to fraction form
    13,735.35/20,603.70 = 7,174.35/x
  3. Step 3: Cross multiply
    13,735.35x = 20,603.70 × 7,174.35
  4. Step 4: Simplify right side
    13,735.35x = 147,818,155.10
  5. Step 5: Solve for x
    x = 147,818,155.10/13,735.35
  6. Step 6: Final answer
    x = 10,761.88

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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.