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Finding the Fourth Proportional to 26,413.57, 36,450.66 and 15,803.20

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Solution

The fourth proportional to 26,413.57, 36,450.66 and 15,803.20 is: 21,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.57 : 36,450.66 = 15,803.20 : x
  2. Step 2: Convert to fraction form
    26,413.57/36,450.66 = 15,803.20/x
  3. Step 3: Cross multiply
    26,413.57x = 36,450.66 × 15,803.20
  4. Step 4: Simplify right side
    26,413.57x = 576,037,070.11
  5. Step 5: Solve for x
    x = 576,037,070.11/26,413.57
  6. Step 6: Final answer
    x = 21,808.38

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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.