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Finding the Fourth Proportional to 19,830.84, 29,743.34 and 5,787.09

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Solution

The fourth proportional to 19,830.84, 29,743.34 and 5,787.09 is: 8,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.84 : 29,743.34 = 5,787.09 : x
  2. Step 2: Convert to fraction form
    19,830.84/29,743.34 = 5,787.09/x
  3. Step 3: Cross multiply
    19,830.84x = 29,743.34 × 5,787.09
  4. Step 4: Simplify right side
    19,830.84x = 172,127,356.55
  5. Step 5: Solve for x
    x = 172,127,356.55/19,830.84
  6. Step 6: Final answer
    x = 8,679.78

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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.