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Finding the Fourth Proportional to 19,865.30, 29,797.57 and 8,018.76

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Solution

The fourth proportional to 19,865.30, 29,797.57 and 8,018.76 is: 12,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.30 : 29,797.57 = 8,018.76 : x
  2. Step 2: Convert to fraction form
    19,865.30/29,797.57 = 8,018.76/x
  3. Step 3: Cross multiply
    19,865.30x = 29,797.57 × 8,018.76
  4. Step 4: Simplify right side
    19,865.30x = 238,939,562.41
  5. Step 5: Solve for x
    x = 238,939,562.41/19,865.30
  6. Step 6: Final answer
    x = 12,027.99

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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.