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Finding the Fourth Proportional to 19,857.10, 29,773.50 and 8,016.32

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Solution

The fourth proportional to 19,857.10, 29,773.50 and 8,016.32 is: 12,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.10 : 29,773.50 = 8,016.32 : x
  2. Step 2: Convert to fraction form
    19,857.10/29,773.50 = 8,016.32/x
  3. Step 3: Cross multiply
    19,857.10x = 29,773.50 × 8,016.32
  4. Step 4: Simplify right side
    19,857.10x = 238,673,903.52
  5. Step 5: Solve for x
    x = 238,673,903.52/19,857.10
  6. Step 6: Final answer
    x = 12,019.58

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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.