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Finding the Fourth Proportional to 23,906.50, 32,990.97 and 13,970.50

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Solution

The fourth proportional to 23,906.50, 32,990.97 and 13,970.50 is: 19,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.50 : 32,990.97 = 13,970.50 : x
  2. Step 2: Convert to fraction form
    23,906.50/32,990.97 = 13,970.50/x
  3. Step 3: Cross multiply
    23,906.50x = 32,990.97 × 13,970.50
  4. Step 4: Simplify right side
    23,906.50x = 460,900,346.39
  5. Step 5: Solve for x
    x = 460,900,346.39/23,906.50
  6. Step 6: Final answer
    x = 19,279.29

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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.