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Finding the Fourth Proportional to 23,199.74, 32,015.30 and 13,640.70

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Solution

The fourth proportional to 23,199.74, 32,015.30 and 13,640.70 is: 18,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.74 : 32,015.30 = 13,640.70 : x
  2. Step 2: Convert to fraction form
    23,199.74/32,015.30 = 13,640.70/x
  3. Step 3: Cross multiply
    23,199.74x = 32,015.30 × 13,640.70
  4. Step 4: Simplify right side
    23,199.74x = 436,711,034.51
  5. Step 5: Solve for x
    x = 436,711,034.51/23,199.74
  6. Step 6: Final answer
    x = 18,823.97

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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.