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Finding the Fourth Proportional to 23,773.10, 32,814.18 and 13,708.24

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Solution

The fourth proportional to 23,773.10, 32,814.18 and 13,708.24 is: 18,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.10 : 32,814.18 = 13,708.24 : x
  2. Step 2: Convert to fraction form
    23,773.10/32,814.18 = 13,708.24/x
  3. Step 3: Cross multiply
    23,773.10x = 32,814.18 × 13,708.24
  4. Step 4: Simplify right side
    23,773.10x = 449,824,654.84
  5. Step 5: Solve for x
    x = 449,824,654.84/23,773.10
  6. Step 6: Final answer
    x = 18,921.58

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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.