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Finding the Fourth Proportional to 19,807.28, 29,710.31 and 8,111.69

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Solution

The fourth proportional to 19,807.28, 29,710.31 and 8,111.69 is: 12,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.28 : 29,710.31 = 8,111.69 : x
  2. Step 2: Convert to fraction form
    19,807.28/29,710.31 = 8,111.69/x
  3. Step 3: Cross multiply
    19,807.28x = 29,710.31 × 8,111.69
  4. Step 4: Simplify right side
    19,807.28x = 241,000,824.52
  5. Step 5: Solve for x
    x = 241,000,824.52/19,807.28
  6. Step 6: Final answer
    x = 12,167.29

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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.