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Finding the Fourth Proportional to 23,353.50, 32,227.83 and 14,970

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Solution

The fourth proportional to 23,353.50, 32,227.83 and 14,970 is: 20,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.50 : 32,227.83 = 14,970 : x
  2. Step 2: Convert to fraction form
    23,353.50/32,227.83 = 14,970/x
  3. Step 3: Cross multiply
    23,353.50x = 32,227.83 × 14,970
  4. Step 4: Simplify right side
    23,353.50x = 482,450,615.10
  5. Step 5: Solve for x
    x = 482,450,615.10/23,353.50
  6. Step 6: Final answer
    x = 20,658.60

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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.