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Finding the Fourth Proportional to 35,413.59, 53,140.92 and 13,226.13

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Solution

The fourth proportional to 35,413.59, 53,140.92 and 13,226.13 is: 19,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,413.59 : 53,140.92 = 13,226.13 : x
  2. Step 2: Convert to fraction form
    35,413.59/53,140.92 = 13,226.13/x
  3. Step 3: Cross multiply
    35,413.59x = 53,140.92 × 13,226.13
  4. Step 4: Simplify right side
    35,413.59x = 702,848,716.24
  5. Step 5: Solve for x
    x = 702,848,716.24/35,413.59
  6. Step 6: Final answer
    x = 19,846.86

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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.