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Finding the Fourth Proportional to 38,413.70, 57,607.22 and 13,453.20

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Solution

The fourth proportional to 38,413.70, 57,607.22 and 13,453.20 is: 20,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.70 : 57,607.22 = 13,453.20 : x
  2. Step 2: Convert to fraction form
    38,413.70/57,607.22 = 13,453.20/x
  3. Step 3: Cross multiply
    38,413.70x = 57,607.22 × 13,453.20
  4. Step 4: Simplify right side
    38,413.70x = 775,001,164.07
  5. Step 5: Solve for x
    x = 775,001,164.07/38,413.70
  6. Step 6: Final answer
    x = 20,175.13

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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.