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Finding the Fourth Proportional to 23,832.71, 32,893.92 and 13,762.79

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Solution

The fourth proportional to 23,832.71, 32,893.92 and 13,762.79 is: 18,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.71 : 32,893.92 = 13,762.79 : x
  2. Step 2: Convert to fraction form
    23,832.71/32,893.92 = 13,762.79/x
  3. Step 3: Cross multiply
    23,832.71x = 32,893.92 × 13,762.79
  4. Step 4: Simplify right side
    23,832.71x = 452,711,948.77
  5. Step 5: Solve for x
    x = 452,711,948.77/23,832.71
  6. Step 6: Final answer
    x = 18,995.41

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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.