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Finding the Fourth Proportional to 13,086.09, 19,603.22 and 6,165.45

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Solution

The fourth proportional to 13,086.09, 19,603.22 and 6,165.45 is: 9,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.09 : 19,603.22 = 6,165.45 : x
  2. Step 2: Convert to fraction form
    13,086.09/19,603.22 = 6,165.45/x
  3. Step 3: Cross multiply
    13,086.09x = 19,603.22 × 6,165.45
  4. Step 4: Simplify right side
    13,086.09x = 120,862,641.92
  5. Step 5: Solve for x
    x = 120,862,641.92/13,086.09
  6. Step 6: Final answer
    x = 9,235.96

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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.