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Finding the Fourth Proportional to 21,254.57, 31,838.09 and 12,468.29

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Solution

The fourth proportional to 21,254.57, 31,838.09 and 12,468.29 is: 18,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.57 : 31,838.09 = 12,468.29 : x
  2. Step 2: Convert to fraction form
    21,254.57/31,838.09 = 12,468.29/x
  3. Step 3: Cross multiply
    21,254.57x = 31,838.09 × 12,468.29
  4. Step 4: Simplify right side
    21,254.57x = 396,966,476.82
  5. Step 5: Solve for x
    x = 396,966,476.82/21,254.57
  6. Step 6: Final answer
    x = 18,676.76

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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.