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Finding the Fourth Proportional to 17,413.77, 24,031.01 and 9,456.00

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Solution

The fourth proportional to 17,413.77, 24,031.01 and 9,456.00 is: 13,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.77 : 24,031.01 = 9,456.00 : x
  2. Step 2: Convert to fraction form
    17,413.77/24,031.01 = 9,456.00/x
  3. Step 3: Cross multiply
    17,413.77x = 24,031.01 × 9,456.00
  4. Step 4: Simplify right side
    17,413.77x = 227,237,176.61
  5. Step 5: Solve for x
    x = 227,237,176.61/17,413.77
  6. Step 6: Final answer
    x = 13,049.28

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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.