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Finding the Fourth Proportional to 26,702.54, 40,073.40 and 11,921.16

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Solution

The fourth proportional to 26,702.54, 40,073.40 and 11,921.16 is: 17,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.54 : 40,073.40 = 11,921.16 : x
  2. Step 2: Convert to fraction form
    26,702.54/40,073.40 = 11,921.16/x
  3. Step 3: Cross multiply
    26,702.54x = 40,073.40 × 11,921.16
  4. Step 4: Simplify right side
    26,702.54x = 477,721,413.14
  5. Step 5: Solve for x
    x = 477,721,413.14/26,702.54
  6. Step 6: Final answer
    x = 17,890.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.