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Finding the Fourth Proportional to 22,278.34, 30,744.01 and 12,206.77

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Solution

The fourth proportional to 22,278.34, 30,744.01 and 12,206.77 is: 16,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.34 : 30,744.01 = 12,206.77 : x
  2. Step 2: Convert to fraction form
    22,278.34/30,744.01 = 12,206.77/x
  3. Step 3: Cross multiply
    22,278.34x = 30,744.01 × 12,206.77
  4. Step 4: Simplify right side
    22,278.34x = 375,285,058.95
  5. Step 5: Solve for x
    x = 375,285,058.95/22,278.34
  6. Step 6: Final answer
    x = 16,845.29

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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.