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Finding the Fourth Proportional to 13,634.32, 20,462.41 and 7,062.38

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Solution

The fourth proportional to 13,634.32, 20,462.41 and 7,062.38 is: 10,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.32 : 20,462.41 = 7,062.38 : x
  2. Step 2: Convert to fraction form
    13,634.32/20,462.41 = 7,062.38/x
  3. Step 3: Cross multiply
    13,634.32x = 20,462.41 × 7,062.38
  4. Step 4: Simplify right side
    13,634.32x = 144,513,413.49
  5. Step 5: Solve for x
    x = 144,513,413.49/13,634.32
  6. Step 6: Final answer
    x = 10,599.24

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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.