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Finding the Fourth Proportional to 23,354.50, 32,229.21 and 14,971

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Solution

The fourth proportional to 23,354.50, 32,229.21 and 14,971 is: 20,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.50 : 32,229.21 = 14,971 : x
  2. Step 2: Convert to fraction form
    23,354.50/32,229.21 = 14,971/x
  3. Step 3: Cross multiply
    23,354.50x = 32,229.21 × 14,971
  4. Step 4: Simplify right side
    23,354.50x = 482,503,502.91
  5. Step 5: Solve for x
    x = 482,503,502.91/23,354.50
  6. Step 6: Final answer
    x = 20,659.98

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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.