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Finding the Fourth Proportional to 17,413.14, 26,124.12 and 5,726.46

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Solution

The fourth proportional to 17,413.14, 26,124.12 and 5,726.46 is: 8,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.14 : 26,124.12 = 5,726.46 : x
  2. Step 2: Convert to fraction form
    17,413.14/26,124.12 = 5,726.46/x
  3. Step 3: Cross multiply
    17,413.14x = 26,124.12 × 5,726.46
  4. Step 4: Simplify right side
    17,413.14x = 149,598,728.22
  5. Step 5: Solve for x
    x = 149,598,728.22/17,413.14
  6. Step 6: Final answer
    x = 8,591.14

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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.