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Finding the Fourth Proportional to 19,929.57, 29,897.60 and 6,780.57

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Solution

The fourth proportional to 19,929.57, 29,897.60 and 6,780.57 is: 10,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.57 : 29,897.60 = 6,780.57 : x
  2. Step 2: Convert to fraction form
    19,929.57/29,897.60 = 6,780.57/x
  3. Step 3: Cross multiply
    19,929.57x = 29,897.60 × 6,780.57
  4. Step 4: Simplify right side
    19,929.57x = 202,722,735.73
  5. Step 5: Solve for x
    x = 202,722,735.73/19,929.57
  6. Step 6: Final answer
    x = 10,171.96

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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.