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Finding the Fourth Proportional to 23,609.34, 32,571.12 and 14,047.31

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Solution

The fourth proportional to 23,609.34, 32,571.12 and 14,047.31 is: 19,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.34 : 32,571.12 = 14,047.31 : x
  2. Step 2: Convert to fraction form
    23,609.34/32,571.12 = 14,047.31/x
  3. Step 3: Cross multiply
    23,609.34x = 32,571.12 × 14,047.31
  4. Step 4: Simplify right side
    23,609.34x = 457,536,619.69
  5. Step 5: Solve for x
    x = 457,536,619.69/23,609.34
  6. Step 6: Final answer
    x = 19,379.48

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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.