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Finding the Fourth Proportional to 19,801.18, 29,702.18 and 7,314.78

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Solution

The fourth proportional to 19,801.18, 29,702.18 and 7,314.78 is: 10,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.18 : 29,702.18 = 7,314.78 : x
  2. Step 2: Convert to fraction form
    19,801.18/29,702.18 = 7,314.78/x
  3. Step 3: Cross multiply
    19,801.18x = 29,702.18 × 7,314.78
  4. Step 4: Simplify right side
    19,801.18x = 217,264,912.22
  5. Step 5: Solve for x
    x = 217,264,912.22/19,801.18
  6. Step 6: Final answer
    x = 10,972.32

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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.