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Finding the Fourth Proportional to 13,002.08, 17,943.03 and 7,896.14

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Solution

The fourth proportional to 13,002.08, 17,943.03 and 7,896.14 is: 10,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.08 : 17,943.03 = 7,896.14 : x
  2. Step 2: Convert to fraction form
    13,002.08/17,943.03 = 7,896.14/x
  3. Step 3: Cross multiply
    13,002.08x = 17,943.03 × 7,896.14
  4. Step 4: Simplify right side
    13,002.08x = 141,680,676.90
  5. Step 5: Solve for x
    x = 141,680,676.90/13,002.08
  6. Step 6: Final answer
    x = 10,896.77

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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.