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Finding the Fourth Proportional to 22,042.82, 30,418.19 and 11,970.98

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Solution

The fourth proportional to 22,042.82, 30,418.19 and 11,970.98 is: 16,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.82 : 30,418.19 = 11,970.98 : x
  2. Step 2: Convert to fraction form
    22,042.82/30,418.19 = 11,970.98/x
  3. Step 3: Cross multiply
    22,042.82x = 30,418.19 × 11,970.98
  4. Step 4: Simplify right side
    22,042.82x = 364,135,332.18
  5. Step 5: Solve for x
    x = 364,135,332.18/22,042.82
  6. Step 6: Final answer
    x = 16,519.45

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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.