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Finding the Fourth Proportional to 23,769.53, 32,802.44 and 14,219.27

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Solution

The fourth proportional to 23,769.53, 32,802.44 and 14,219.27 is: 19,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.53 : 32,802.44 = 14,219.27 : x
  2. Step 2: Convert to fraction form
    23,769.53/32,802.44 = 14,219.27/x
  3. Step 3: Cross multiply
    23,769.53x = 32,802.44 × 14,219.27
  4. Step 4: Simplify right side
    23,769.53x = 466,426,679.92
  5. Step 5: Solve for x
    x = 466,426,679.92/23,769.53
  6. Step 6: Final answer
    x = 19,622.88

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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.