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Finding the Fourth Proportional to 21,466.15, 29,625 and 11,906.98

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Solution

The fourth proportional to 21,466.15, 29,625 and 11,906.98 is: 16,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.15 : 29,625 = 11,906.98 : x
  2. Step 2: Convert to fraction form
    21,466.15/29,625 = 11,906.98/x
  3. Step 3: Cross multiply
    21,466.15x = 29,625 × 11,906.98
  4. Step 4: Simplify right side
    21,466.15x = 352,744,282.50
  5. Step 5: Solve for x
    x = 352,744,282.50/21,466.15
  6. Step 6: Final answer
    x = 16,432.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.