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Finding the Fourth Proportional to 17,413.88, 24,030.76 and 9,456.02

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Solution

The fourth proportional to 17,413.88, 24,030.76 and 9,456.02 is: 13,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.88 : 24,030.76 = 9,456.02 : x
  2. Step 2: Convert to fraction form
    17,413.88/24,030.76 = 9,456.02/x
  3. Step 3: Cross multiply
    17,413.88x = 24,030.76 × 9,456.02
  4. Step 4: Simplify right side
    17,413.88x = 227,235,347.18
  5. Step 5: Solve for x
    x = 227,235,347.18/17,413.88
  6. Step 6: Final answer
    x = 13,049.09

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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.