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Finding the Fourth Proportional to 12,254.71, 18,371.68 and 5,588.82

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Solution

The fourth proportional to 12,254.71, 18,371.68 and 5,588.82 is: 8,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.71 : 18,371.68 = 5,588.82 : x
  2. Step 2: Convert to fraction form
    12,254.71/18,371.68 = 5,588.82/x
  3. Step 3: Cross multiply
    12,254.71x = 18,371.68 × 5,588.82
  4. Step 4: Simplify right side
    12,254.71x = 102,676,012.62
  5. Step 5: Solve for x
    x = 102,676,012.62/12,254.71
  6. Step 6: Final answer
    x = 8,378.50

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Why These Related Problems?

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