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Finding the Fourth Proportional to 23,419.31, 32,313.83 and 13,854.47

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Solution

The fourth proportional to 23,419.31, 32,313.83 and 13,854.47 is: 19,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.31 : 32,313.83 = 13,854.47 : x
  2. Step 2: Convert to fraction form
    23,419.31/32,313.83 = 13,854.47/x
  3. Step 3: Cross multiply
    23,419.31x = 32,313.83 × 13,854.47
  4. Step 4: Simplify right side
    23,419.31x = 447,690,757.48
  5. Step 5: Solve for x
    x = 447,690,757.48/23,419.31
  6. Step 6: Final answer
    x = 19,116.31

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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.