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Finding the Fourth Proportional to 17,413.62, 24,031.08 and 10,248.78

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Solution

The fourth proportional to 17,413.62, 24,031.08 and 10,248.78 is: 14,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.62 : 24,031.08 = 10,248.78 : x
  2. Step 2: Convert to fraction form
    17,413.62/24,031.08 = 10,248.78/x
  3. Step 3: Cross multiply
    17,413.62x = 24,031.08 × 10,248.78
  4. Step 4: Simplify right side
    17,413.62x = 246,289,252.08
  5. Step 5: Solve for x
    x = 246,289,252.08/17,413.62
  6. Step 6: Final answer
    x = 14,143.48

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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.