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Finding the Fourth Proportional to 17,413.84, 24,030.96 and 9,456.06

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Solution

The fourth proportional to 17,413.84, 24,030.96 and 9,456.06 is: 13,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.84 : 24,030.96 = 9,456.06 : x
  2. Step 2: Convert to fraction form
    17,413.84/24,030.96 = 9,456.06/x
  3. Step 3: Cross multiply
    17,413.84x = 24,030.96 × 9,456.06
  4. Step 4: Simplify right side
    17,413.84x = 227,238,199.62
  5. Step 5: Solve for x
    x = 227,238,199.62/17,413.84
  6. Step 6: Final answer
    x = 13,049.29

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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.