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Finding the Fourth Proportional to 22,413.23, 30,930 and 12,341.46

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Solution

The fourth proportional to 22,413.23, 30,930 and 12,341.46 is: 17,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.23 : 30,930 = 12,341.46 : x
  2. Step 2: Convert to fraction form
    22,413.23/30,930 = 12,341.46/x
  3. Step 3: Cross multiply
    22,413.23x = 30,930 × 12,341.46
  4. Step 4: Simplify right side
    22,413.23x = 381,721,357.80
  5. Step 5: Solve for x
    x = 381,721,357.80/22,413.23
  6. Step 6: Final answer
    x = 17,031.08

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