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Finding the Fourth Proportional to 19,977.96, 29,970.78 and 7,665

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Solution

The fourth proportional to 19,977.96, 29,970.78 and 7,665 is: 11,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.96 : 29,970.78 = 7,665 : x
  2. Step 2: Convert to fraction form
    19,977.96/29,970.78 = 7,665/x
  3. Step 3: Cross multiply
    19,977.96x = 29,970.78 × 7,665
  4. Step 4: Simplify right side
    19,977.96x = 229,726,028.70
  5. Step 5: Solve for x
    x = 229,726,028.70/19,977.96
  6. Step 6: Final answer
    x = 11,498.97

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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.