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Finding the Fourth Proportional to 21,817.25, 32,725.22 and 6,023.24

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Solution

The fourth proportional to 21,817.25, 32,725.22 and 6,023.24 is: 9,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.25 : 32,725.22 = 6,023.24 : x
  2. Step 2: Convert to fraction form
    21,817.25/32,725.22 = 6,023.24/x
  3. Step 3: Cross multiply
    21,817.25x = 32,725.22 × 6,023.24
  4. Step 4: Simplify right side
    21,817.25x = 197,111,925.67
  5. Step 5: Solve for x
    x = 197,111,925.67/21,817.25
  6. Step 6: Final answer
    x = 9,034.68

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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.