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Finding the Fourth Proportional to 17,413.51, 24,031.14 and 10,243.95

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Solution

The fourth proportional to 17,413.51, 24,031.14 and 10,243.95 is: 14,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.51 : 24,031.14 = 10,243.95 : x
  2. Step 2: Convert to fraction form
    17,413.51/24,031.14 = 10,243.95/x
  3. Step 3: Cross multiply
    17,413.51x = 24,031.14 × 10,243.95
  4. Step 4: Simplify right side
    17,413.51x = 246,173,745.38
  5. Step 5: Solve for x
    x = 246,173,745.38/17,413.51
  6. Step 6: Final answer
    x = 14,136.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.