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Finding the Fourth Proportional to 21,634.90, 32,466.83 and 7,594.99

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Solution

The fourth proportional to 21,634.90, 32,466.83 and 7,594.99 is: 11,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.90 : 32,466.83 = 7,594.99 : x
  2. Step 2: Convert to fraction form
    21,634.90/32,466.83 = 7,594.99/x
  3. Step 3: Cross multiply
    21,634.90x = 32,466.83 × 7,594.99
  4. Step 4: Simplify right side
    21,634.90x = 246,585,249.18
  5. Step 5: Solve for x
    x = 246,585,249.18/21,634.90
  6. Step 6: Final answer
    x = 11,397.57

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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.