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Finding the Fourth Proportional to 19,857.60, 29,777.67 and 9,330.62

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Solution

The fourth proportional to 19,857.60, 29,777.67 and 9,330.62 is: 13,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.60 : 29,777.67 = 9,330.62 : x
  2. Step 2: Convert to fraction form
    19,857.60/29,777.67 = 9,330.62/x
  3. Step 3: Cross multiply
    19,857.60x = 29,777.67 × 9,330.62
  4. Step 4: Simplify right side
    19,857.60x = 277,843,974.37
  5. Step 5: Solve for x
    x = 277,843,974.37/19,857.60
  6. Step 6: Final answer
    x = 13,991.82

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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.