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Finding the Fourth Proportional to 19,654.32, 29,476.27 and 13,413.21

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Solution

The fourth proportional to 19,654.32, 29,476.27 and 13,413.21 is: 20,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.32 : 29,476.27 = 13,413.21 : x
  2. Step 2: Convert to fraction form
    19,654.32/29,476.27 = 13,413.21/x
  3. Step 3: Cross multiply
    19,654.32x = 29,476.27 × 13,413.21
  4. Step 4: Simplify right side
    19,654.32x = 395,371,399.53
  5. Step 5: Solve for x
    x = 395,371,399.53/19,654.32
  6. Step 6: Final answer
    x = 20,116.26

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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.