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Finding the Fourth Proportional to 21,854.21, 32,775.64 and 6,268.19

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Solution

The fourth proportional to 21,854.21, 32,775.64 and 6,268.19 is: 9,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.21 : 32,775.64 = 6,268.19 : x
  2. Step 2: Convert to fraction form
    21,854.21/32,775.64 = 6,268.19/x
  3. Step 3: Cross multiply
    21,854.21x = 32,775.64 × 6,268.19
  4. Step 4: Simplify right side
    21,854.21x = 205,443,759.34
  5. Step 5: Solve for x
    x = 205,443,759.34/21,854.21
  6. Step 6: Final answer
    x = 9,400.65

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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.