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Finding the Fourth Proportional to 22,966.83, 31,694.22 and 13,413.33

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Solution

The fourth proportional to 22,966.83, 31,694.22 and 13,413.33 is: 18,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.83 : 31,694.22 = 13,413.33 : x
  2. Step 2: Convert to fraction form
    22,966.83/31,694.22 = 13,413.33/x
  3. Step 3: Cross multiply
    22,966.83x = 31,694.22 × 13,413.33
  4. Step 4: Simplify right side
    22,966.83x = 425,125,031.95
  5. Step 5: Solve for x
    x = 425,125,031.95/22,966.83
  6. Step 6: Final answer
    x = 18,510.39

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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.