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Finding the Fourth Proportional to 12,847.98, 19,275.02 and 4,082.90

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Solution

The fourth proportional to 12,847.98, 19,275.02 and 4,082.90 is: 6,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.98 : 19,275.02 = 4,082.90 : x
  2. Step 2: Convert to fraction form
    12,847.98/19,275.02 = 4,082.90/x
  3. Step 3: Cross multiply
    12,847.98x = 19,275.02 × 4,082.90
  4. Step 4: Simplify right side
    12,847.98x = 78,697,979.16
  5. Step 5: Solve for x
    x = 78,697,979.16/12,847.98
  6. Step 6: Final answer
    x = 6,125.32

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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.