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Finding the Fourth Proportional to 23,585.44, 35,370.65 and 7,787.53

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Solution

The fourth proportional to 23,585.44, 35,370.65 and 7,787.53 is: 11,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.44 : 35,370.65 = 7,787.53 : x
  2. Step 2: Convert to fraction form
    23,585.44/35,370.65 = 7,787.53/x
  3. Step 3: Cross multiply
    23,585.44x = 35,370.65 × 7,787.53
  4. Step 4: Simplify right side
    23,585.44x = 275,449,997.99
  5. Step 5: Solve for x
    x = 275,449,997.99/23,585.44
  6. Step 6: Final answer
    x = 11,678.82

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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.