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Finding the Fourth Proportional to 19,787.49, 29,683.67 and 6,460.16

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Solution

The fourth proportional to 19,787.49, 29,683.67 and 6,460.16 is: 9,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.49 : 29,683.67 = 6,460.16 : x
  2. Step 2: Convert to fraction form
    19,787.49/29,683.67 = 6,460.16/x
  3. Step 3: Cross multiply
    19,787.49x = 29,683.67 × 6,460.16
  4. Step 4: Simplify right side
    19,787.49x = 191,761,076.87
  5. Step 5: Solve for x
    x = 191,761,076.87/19,787.49
  6. Step 6: Final answer
    x = 9,691.03

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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.