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Finding the Fourth Proportional to 21,662.50, 29,894.25 and 12,230.86

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Solution

The fourth proportional to 21,662.50, 29,894.25 and 12,230.86 is: 16,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.50 : 29,894.25 = 12,230.86 : x
  2. Step 2: Convert to fraction form
    21,662.50/29,894.25 = 12,230.86/x
  3. Step 3: Cross multiply
    21,662.50x = 29,894.25 × 12,230.86
  4. Step 4: Simplify right side
    21,662.50x = 365,632,386.56
  5. Step 5: Solve for x
    x = 365,632,386.56/21,662.50
  6. Step 6: Final answer
    x = 16,878.59

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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.