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Finding the Fourth Proportional to 17,877.69, 26,823.60 and 6,787.32

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Solution

The fourth proportional to 17,877.69, 26,823.60 and 6,787.32 is: 10,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.69 : 26,823.60 = 6,787.32 : x
  2. Step 2: Convert to fraction form
    17,877.69/26,823.60 = 6,787.32/x
  3. Step 3: Cross multiply
    17,877.69x = 26,823.60 × 6,787.32
  4. Step 4: Simplify right side
    17,877.69x = 182,060,356.75
  5. Step 5: Solve for x
    x = 182,060,356.75/17,877.69
  6. Step 6: Final answer
    x = 10,183.66

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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.