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Finding the Fourth Proportional to 23,609.46, 32,571.29 and 14,047.44

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Solution

The fourth proportional to 23,609.46, 32,571.29 and 14,047.44 is: 19,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.46 : 32,571.29 = 14,047.44 : x
  2. Step 2: Convert to fraction form
    23,609.46/32,571.29 = 14,047.44/x
  3. Step 3: Cross multiply
    23,609.46x = 32,571.29 × 14,047.44
  4. Step 4: Simplify right side
    23,609.46x = 457,543,079.14
  5. Step 5: Solve for x
    x = 457,543,079.14/23,609.46
  6. Step 6: Final answer
    x = 19,379.65

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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.