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Finding the Fourth Proportional to 19,920.44, 29,875.80 and 8,237

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Solution

The fourth proportional to 19,920.44, 29,875.80 and 8,237 is: 12,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.44 : 29,875.80 = 8,237 : x
  2. Step 2: Convert to fraction form
    19,920.44/29,875.80 = 8,237/x
  3. Step 3: Cross multiply
    19,920.44x = 29,875.80 × 8,237
  4. Step 4: Simplify right side
    19,920.44x = 246,086,964.60
  5. Step 5: Solve for x
    x = 246,086,964.60/19,920.44
  6. Step 6: Final answer
    x = 12,353.49

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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.