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Finding the Fourth Proportional to 23,224.50, 32,049.87 and 13,664.74

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Solution

The fourth proportional to 23,224.50, 32,049.87 and 13,664.74 is: 18,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.50 : 32,049.87 = 13,664.74 : x
  2. Step 2: Convert to fraction form
    23,224.50/32,049.87 = 13,664.74/x
  3. Step 3: Cross multiply
    23,224.50x = 32,049.87 × 13,664.74
  4. Step 4: Simplify right side
    23,224.50x = 437,953,140.58
  5. Step 5: Solve for x
    x = 437,953,140.58/23,224.50
  6. Step 6: Final answer
    x = 18,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.