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Finding the Fourth Proportional to 13,822.52, 19,082.07 and 8,159.00

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Solution

The fourth proportional to 13,822.52, 19,082.07 and 8,159.00 is: 11,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.52 : 19,082.07 = 8,159.00 : x
  2. Step 2: Convert to fraction form
    13,822.52/19,082.07 = 8,159.00/x
  3. Step 3: Cross multiply
    13,822.52x = 19,082.07 × 8,159.00
  4. Step 4: Simplify right side
    13,822.52x = 155,690,513.72
  5. Step 5: Solve for x
    x = 155,690,513.72/13,822.52
  6. Step 6: Final answer
    x = 11,263.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.