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Finding the Fourth Proportional to 23,413.66, 32,310.54 and 13,342.69

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Solution

The fourth proportional to 23,413.66, 32,310.54 and 13,342.69 is: 18,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.66 : 32,310.54 = 13,342.69 : x
  2. Step 2: Convert to fraction form
    23,413.66/32,310.54 = 13,342.69/x
  3. Step 3: Cross multiply
    23,413.66x = 32,310.54 × 13,342.69
  4. Step 4: Simplify right side
    23,413.66x = 431,109,518.95
  5. Step 5: Solve for x
    x = 431,109,518.95/23,413.66
  6. Step 6: Final answer
    x = 18,412.74

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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.