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Finding the Fourth Proportional to 21,657.60, 32,449.42 and 11,779.24

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Solution

The fourth proportional to 21,657.60, 32,449.42 and 11,779.24 is: 17,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.60 : 32,449.42 = 11,779.24 : x
  2. Step 2: Convert to fraction form
    21,657.60/32,449.42 = 11,779.24/x
  3. Step 3: Cross multiply
    21,657.60x = 32,449.42 × 11,779.24
  4. Step 4: Simplify right side
    21,657.60x = 382,229,506.04
  5. Step 5: Solve for x
    x = 382,229,506.04/21,657.60
  6. Step 6: Final answer
    x = 17,648.75

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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.