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Finding the Fourth Proportional to 13,338, 20,007.36 and 5,017.14

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Solution

The fourth proportional to 13,338, 20,007.36 and 5,017.14 is: 7,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 20,007.36 = 5,017.14 : x
  2. Step 2: Convert to fraction form
    13,338/20,007.36 = 5,017.14/x
  3. Step 3: Cross multiply
    13,338x = 20,007.36 × 5,017.14
  4. Step 4: Simplify right side
    13,338x = 100,379,726.15
  5. Step 5: Solve for x
    x = 100,379,726.15/13,338
  6. Step 6: Final answer
    x = 7,525.85

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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.