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Finding the Fourth Proportional to 19,891.24, 29,833.62 and 6,037

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Solution

The fourth proportional to 19,891.24, 29,833.62 and 6,037 is: 9,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.24 : 29,833.62 = 6,037 : x
  2. Step 2: Convert to fraction form
    19,891.24/29,833.62 = 6,037/x
  3. Step 3: Cross multiply
    19,891.24x = 29,833.62 × 6,037
  4. Step 4: Simplify right side
    19,891.24x = 180,105,563.94
  5. Step 5: Solve for x
    x = 180,105,563.94/19,891.24
  6. Step 6: Final answer
    x = 9,054.52

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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.