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Finding the Fourth Proportional to 13,605.62, 20,413.56 and 9,264.02

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Solution

The fourth proportional to 13,605.62, 20,413.56 and 9,264.02 is: 13,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.62 : 20,413.56 = 9,264.02 : x
  2. Step 2: Convert to fraction form
    13,605.62/20,413.56 = 9,264.02/x
  3. Step 3: Cross multiply
    13,605.62x = 20,413.56 × 9,264.02
  4. Step 4: Simplify right side
    13,605.62x = 189,111,628.11
  5. Step 5: Solve for x
    x = 189,111,628.11/13,605.62
  6. Step 6: Final answer
    x = 13,899.52

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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.