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Finding the Fourth Proportional to 23,649.09, 32,635.97 and 14,696.97

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Solution

The fourth proportional to 23,649.09, 32,635.97 and 14,696.97 is: 20,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.09 : 32,635.97 = 14,696.97 : x
  2. Step 2: Convert to fraction form
    23,649.09/32,635.97 = 14,696.97/x
  3. Step 3: Cross multiply
    23,649.09x = 32,635.97 × 14,696.97
  4. Step 4: Simplify right side
    23,649.09x = 479,649,798.53
  5. Step 5: Solve for x
    x = 479,649,798.53/23,649.09
  6. Step 6: Final answer
    x = 20,281.96

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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.