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Finding the Fourth Proportional to 19,857.41, 29,777.36 and 9,330.42

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Solution

The fourth proportional to 19,857.41, 29,777.36 and 9,330.42 is: 13,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.41 : 29,777.36 = 9,330.42 : x
  2. Step 2: Convert to fraction form
    19,857.41/29,777.36 = 9,330.42/x
  3. Step 3: Cross multiply
    19,857.41x = 29,777.36 × 9,330.42
  4. Step 4: Simplify right side
    19,857.41x = 277,835,275.29
  5. Step 5: Solve for x
    x = 277,835,275.29/19,857.41
  6. Step 6: Final answer
    x = 13,991.52

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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.