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Finding the Fourth Proportional to 23,486.71, 32,410.44 and 13,413.17

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Solution

The fourth proportional to 23,486.71, 32,410.44 and 13,413.17 is: 18,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.71 : 32,410.44 = 13,413.17 : x
  2. Step 2: Convert to fraction form
    23,486.71/32,410.44 = 13,413.17/x
  3. Step 3: Cross multiply
    23,486.71x = 32,410.44 × 13,413.17
  4. Step 4: Simplify right side
    23,486.71x = 434,726,741.49
  5. Step 5: Solve for x
    x = 434,726,741.49/23,486.71
  6. Step 6: Final answer
    x = 18,509.48

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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.