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Finding the Fourth Proportional to 22,934.68, 34,393.74 and 9,787.96

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Solution

The fourth proportional to 22,934.68, 34,393.74 and 9,787.96 is: 14,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.68 : 34,393.74 = 9,787.96 : x
  2. Step 2: Convert to fraction form
    22,934.68/34,393.74 = 9,787.96/x
  3. Step 3: Cross multiply
    22,934.68x = 34,393.74 × 9,787.96
  4. Step 4: Simplify right side
    22,934.68x = 336,644,551.37
  5. Step 5: Solve for x
    x = 336,644,551.37/22,934.68
  6. Step 6: Final answer
    x = 14,678.41

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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.