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Finding the Fourth Proportional to 19,849.60, 29,779 and 8,759.44

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Solution

The fourth proportional to 19,849.60, 29,779 and 8,759.44 is: 13,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,849.60 : 29,779 = 8,759.44 : x
  2. Step 2: Convert to fraction form
    19,849.60/29,779 = 8,759.44/x
  3. Step 3: Cross multiply
    19,849.60x = 29,779 × 8,759.44
  4. Step 4: Simplify right side
    19,849.60x = 260,847,363.76
  5. Step 5: Solve for x
    x = 260,847,363.76/19,849.60
  6. Step 6: Final answer
    x = 13,141.19

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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.