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Finding the Fourth Proportional to 17,633.10, 26,458.94 and 7,779.18

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Solution

The fourth proportional to 17,633.10, 26,458.94 and 7,779.18 is: 11,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.10 : 26,458.94 = 7,779.18 : x
  2. Step 2: Convert to fraction form
    17,633.10/26,458.94 = 7,779.18/x
  3. Step 3: Cross multiply
    17,633.10x = 26,458.94 × 7,779.18
  4. Step 4: Simplify right side
    17,633.10x = 205,828,856.87
  5. Step 5: Solve for x
    x = 205,828,856.87/17,633.10
  6. Step 6: Final answer
    x = 11,672.87

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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.