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Finding the Fourth Proportional to 13,182.83, 19,779.12 and 6,165.13

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Solution

The fourth proportional to 13,182.83, 19,779.12 and 6,165.13 is: 9,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.83 : 19,779.12 = 6,165.13 : x
  2. Step 2: Convert to fraction form
    13,182.83/19,779.12 = 6,165.13/x
  3. Step 3: Cross multiply
    13,182.83x = 19,779.12 × 6,165.13
  4. Step 4: Simplify right side
    13,182.83x = 121,940,846.09
  5. Step 5: Solve for x
    x = 121,940,846.09/13,182.83
  6. Step 6: Final answer
    x = 9,249.97

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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.