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Finding the Fourth Proportional to 21,254.81, 31,838.46 and 12,468.54

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Solution

The fourth proportional to 21,254.81, 31,838.46 and 12,468.54 is: 18,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.81 : 31,838.46 = 12,468.54 : x
  2. Step 2: Convert to fraction form
    21,254.81/31,838.46 = 12,468.54/x
  3. Step 3: Cross multiply
    21,254.81x = 31,838.46 × 12,468.54
  4. Step 4: Simplify right side
    21,254.81x = 396,979,112.05
  5. Step 5: Solve for x
    x = 396,979,112.05/21,254.81
  6. Step 6: Final answer
    x = 18,677.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.