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Finding the Fourth Proportional to 21,874.21, 32,812.05 and 7,083.25

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Solution

The fourth proportional to 21,874.21, 32,812.05 and 7,083.25 is: 10,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.21 : 32,812.05 = 7,083.25 : x
  2. Step 2: Convert to fraction form
    21,874.21/32,812.05 = 7,083.25/x
  3. Step 3: Cross multiply
    21,874.21x = 32,812.05 × 7,083.25
  4. Step 4: Simplify right side
    21,874.21x = 232,415,953.16
  5. Step 5: Solve for x
    x = 232,415,953.16/21,874.21
  6. Step 6: Final answer
    x = 10,625.11

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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.