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Finding the Fourth Proportional to 12,735.01, 19,082.98 and 5,335.42

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Solution

The fourth proportional to 12,735.01, 19,082.98 and 5,335.42 is: 7,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.01 : 19,082.98 = 5,335.42 : x
  2. Step 2: Convert to fraction form
    12,735.01/19,082.98 = 5,335.42/x
  3. Step 3: Cross multiply
    12,735.01x = 19,082.98 × 5,335.42
  4. Step 4: Simplify right side
    12,735.01x = 101,815,713.15
  5. Step 5: Solve for x
    x = 101,815,713.15/12,735.01
  6. Step 6: Final answer
    x = 7,994.95

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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.