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Finding the Fourth Proportional to 35,413.85, 53,115.51 and 13,224.44

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Solution

The fourth proportional to 35,413.85, 53,115.51 and 13,224.44 is: 19,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,413.85 : 53,115.51 = 13,224.44 : x
  2. Step 2: Convert to fraction form
    35,413.85/53,115.51 = 13,224.44/x
  3. Step 3: Cross multiply
    35,413.85x = 53,115.51 × 13,224.44
  4. Step 4: Simplify right side
    35,413.85x = 702,422,875.06
  5. Step 5: Solve for x
    x = 702,422,875.06/35,413.85
  6. Step 6: Final answer
    x = 19,834.69

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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.