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Finding the Fourth Proportional to 24,743.95, 34,146.36 and 13,413.47

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Solution

The fourth proportional to 24,743.95, 34,146.36 and 13,413.47 is: 18,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.95 : 34,146.36 = 13,413.47 : x
  2. Step 2: Convert to fraction form
    24,743.95/34,146.36 = 13,413.47/x
  3. Step 3: Cross multiply
    24,743.95x = 34,146.36 × 13,413.47
  4. Step 4: Simplify right side
    24,743.95x = 458,021,004.74
  5. Step 5: Solve for x
    x = 458,021,004.74/24,743.95
  6. Step 6: Final answer
    x = 18,510.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.