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Finding the Fourth Proportional to 23,773.85, 32,802.72 and 14,212.31

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Solution

The fourth proportional to 23,773.85, 32,802.72 and 14,212.31 is: 19,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.85 : 32,802.72 = 14,212.31 : x
  2. Step 2: Convert to fraction form
    23,773.85/32,802.72 = 14,212.31/x
  3. Step 3: Cross multiply
    23,773.85x = 32,802.72 × 14,212.31
  4. Step 4: Simplify right side
    23,773.85x = 466,202,472.63
  5. Step 5: Solve for x
    x = 466,202,472.63/23,773.85
  6. Step 6: Final answer
    x = 19,609.88

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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.