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Finding the Fourth Proportional to 23,224.25, 32,049.53 and 13,664.50

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Solution

The fourth proportional to 23,224.25, 32,049.53 and 13,664.50 is: 18,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.25 : 32,049.53 = 13,664.50 : x
  2. Step 2: Convert to fraction form
    23,224.25/32,049.53 = 13,664.50/x
  3. Step 3: Cross multiply
    23,224.25x = 32,049.53 × 13,664.50
  4. Step 4: Simplify right side
    23,224.25x = 437,940,574.11
  5. Step 5: Solve for x
    x = 437,940,574.11/23,224.25
  6. Step 6: Final answer
    x = 18,857.04

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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.