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Finding the Fourth Proportional to 16,702.22, 23,052.85 and 10,413.38

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Solution

The fourth proportional to 16,702.22, 23,052.85 and 10,413.38 is: 14,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.22 : 23,052.85 = 10,413.38 : x
  2. Step 2: Convert to fraction form
    16,702.22/23,052.85 = 10,413.38/x
  3. Step 3: Cross multiply
    16,702.22x = 23,052.85 × 10,413.38
  4. Step 4: Simplify right side
    16,702.22x = 240,058,087.13
  5. Step 5: Solve for x
    x = 240,058,087.13/16,702.22
  6. Step 6: Final answer
    x = 14,372.83

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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.