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Finding the Fourth Proportional to 22,278.76, 30,744.68 and 12,342.76

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Solution

The fourth proportional to 22,278.76, 30,744.68 and 12,342.76 is: 17,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.76 : 30,744.68 = 12,342.76 : x
  2. Step 2: Convert to fraction form
    22,278.76/30,744.68 = 12,342.76/x
  3. Step 3: Cross multiply
    22,278.76x = 30,744.68 × 12,342.76
  4. Step 4: Simplify right side
    22,278.76x = 379,474,206.52
  5. Step 5: Solve for x
    x = 379,474,206.52/22,278.76
  6. Step 6: Final answer
    x = 17,033.00

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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.