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Finding the Fourth Proportional to 12,035.32, 18,037.94 and 5,794.17

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Solution

The fourth proportional to 12,035.32, 18,037.94 and 5,794.17 is: 8,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.32 : 18,037.94 = 5,794.17 : x
  2. Step 2: Convert to fraction form
    12,035.32/18,037.94 = 5,794.17/x
  3. Step 3: Cross multiply
    12,035.32x = 18,037.94 × 5,794.17
  4. Step 4: Simplify right side
    12,035.32x = 104,514,905.30
  5. Step 5: Solve for x
    x = 104,514,905.30/12,035.32
  6. Step 6: Final answer
    x = 8,684.02

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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.