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Finding the Fourth Proportional to 23,760.50, 32,789.49 and 13,824.50

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Solution

The fourth proportional to 23,760.50, 32,789.49 and 13,824.50 is: 19,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.50 : 32,789.49 = 13,824.50 : x
  2. Step 2: Convert to fraction form
    23,760.50/32,789.49 = 13,824.50/x
  3. Step 3: Cross multiply
    23,760.50x = 32,789.49 × 13,824.50
  4. Step 4: Simplify right side
    23,760.50x = 453,298,304.51
  5. Step 5: Solve for x
    x = 453,298,304.51/23,760.50
  6. Step 6: Final answer
    x = 19,077.81

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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.