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Finding the Fourth Proportional to 22,784.49, 34,118.31 and 15,754.82

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Solution

The fourth proportional to 22,784.49, 34,118.31 and 15,754.82 is: 23,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.49 : 34,118.31 = 15,754.82 : x
  2. Step 2: Convert to fraction form
    22,784.49/34,118.31 = 15,754.82/x
  3. Step 3: Cross multiply
    22,784.49x = 34,118.31 × 15,754.82
  4. Step 4: Simplify right side
    22,784.49x = 537,527,662.16
  5. Step 5: Solve for x
    x = 537,527,662.16/22,784.49
  6. Step 6: Final answer
    x = 23,591.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.