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Finding the Fourth Proportional to 23,662.32, 32,649.46 and 14,231.49

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Solution

The fourth proportional to 23,662.32, 32,649.46 and 14,231.49 is: 19,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.32 : 32,649.46 = 14,231.49 : x
  2. Step 2: Convert to fraction form
    23,662.32/32,649.46 = 14,231.49/x
  3. Step 3: Cross multiply
    23,662.32x = 32,649.46 × 14,231.49
  4. Step 4: Simplify right side
    23,662.32x = 464,650,427.92
  5. Step 5: Solve for x
    x = 464,650,427.92/23,662.32
  6. Step 6: Final answer
    x = 19,636.72

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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.