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Finding the Fourth Proportional to 23,251.16, 32,076.15 and 13,814.21

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Solution

The fourth proportional to 23,251.16, 32,076.15 and 13,814.21 is: 19,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.16 : 32,076.15 = 13,814.21 : x
  2. Step 2: Convert to fraction form
    23,251.16/32,076.15 = 13,814.21/x
  3. Step 3: Cross multiply
    23,251.16x = 32,076.15 × 13,814.21
  4. Step 4: Simplify right side
    23,251.16x = 443,106,672.09
  5. Step 5: Solve for x
    x = 443,106,672.09/23,251.16
  6. Step 6: Final answer
    x = 19,057.40

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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.