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Finding the Fourth Proportional to 23,348.50, 32,220.93 and 14,965

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Solution

The fourth proportional to 23,348.50, 32,220.93 and 14,965 is: 20,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.50 : 32,220.93 = 14,965 : x
  2. Step 2: Convert to fraction form
    23,348.50/32,220.93 = 14,965/x
  3. Step 3: Cross multiply
    23,348.50x = 32,220.93 × 14,965
  4. Step 4: Simplify right side
    23,348.50x = 482,186,217.45
  5. Step 5: Solve for x
    x = 482,186,217.45/23,348.50
  6. Step 6: Final answer
    x = 20,651.70

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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.