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Finding the Fourth Proportional to 19,897.44, 29,838.60 and 8,203.92

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Solution

The fourth proportional to 19,897.44, 29,838.60 and 8,203.92 is: 12,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.44 : 29,838.60 = 8,203.92 : x
  2. Step 2: Convert to fraction form
    19,897.44/29,838.60 = 8,203.92/x
  3. Step 3: Cross multiply
    19,897.44x = 29,838.60 × 8,203.92
  4. Step 4: Simplify right side
    19,897.44x = 244,793,487.31
  5. Step 5: Solve for x
    x = 244,793,487.31/19,897.44
  6. Step 6: Final answer
    x = 12,302.76

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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.