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Finding the Fourth Proportional to 21,394.23, 32,083.19 and 8,567.47

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Solution

The fourth proportional to 21,394.23, 32,083.19 and 8,567.47 is: 12,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.23 : 32,083.19 = 8,567.47 : x
  2. Step 2: Convert to fraction form
    21,394.23/32,083.19 = 8,567.47/x
  3. Step 3: Cross multiply
    21,394.23x = 32,083.19 × 8,567.47
  4. Step 4: Simplify right side
    21,394.23x = 274,871,797.22
  5. Step 5: Solve for x
    x = 274,871,797.22/21,394.23
  6. Step 6: Final answer
    x = 12,847.94

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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.