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Finding the Fourth Proportional to 13,509.38, 20,264.15 and 4,275.38

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Solution

The fourth proportional to 13,509.38, 20,264.15 and 4,275.38 is: 6,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.38 : 20,264.15 = 4,275.38 : x
  2. Step 2: Convert to fraction form
    13,509.38/20,264.15 = 4,275.38/x
  3. Step 3: Cross multiply
    13,509.38x = 20,264.15 × 4,275.38
  4. Step 4: Simplify right side
    13,509.38x = 86,636,850.99
  5. Step 5: Solve for x
    x = 86,636,850.99/13,509.38
  6. Step 6: Final answer
    x = 6,413.09

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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.