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Finding the Fourth Proportional to 13,046.08, 19,570.08 and 3,812

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Solution

The fourth proportional to 13,046.08, 19,570.08 and 3,812 is: 5,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.08 : 19,570.08 = 3,812 : x
  2. Step 2: Convert to fraction form
    13,046.08/19,570.08 = 3,812/x
  3. Step 3: Cross multiply
    13,046.08x = 19,570.08 × 3,812
  4. Step 4: Simplify right side
    13,046.08x = 74,601,144.96
  5. Step 5: Solve for x
    x = 74,601,144.96/13,046.08
  6. Step 6: Final answer
    x = 5,718.28

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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.