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Finding the Fourth Proportional to 19,800.12, 29,702.60 and 6,474.44

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Solution

The fourth proportional to 19,800.12, 29,702.60 and 6,474.44 is: 9,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800.12 : 29,702.60 = 6,474.44 : x
  2. Step 2: Convert to fraction form
    19,800.12/29,702.60 = 6,474.44/x
  3. Step 3: Cross multiply
    19,800.12x = 29,702.60 × 6,474.44
  4. Step 4: Simplify right side
    19,800.12x = 192,307,701.54
  5. Step 5: Solve for x
    x = 192,307,701.54/19,800.12
  6. Step 6: Final answer
    x = 9,712.45

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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.