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Finding the Fourth Proportional to 19,690.46, 29,530.65 and 5,836.22

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Solution

The fourth proportional to 19,690.46, 29,530.65 and 5,836.22 is: 8,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.46 : 29,530.65 = 5,836.22 : x
  2. Step 2: Convert to fraction form
    19,690.46/29,530.65 = 5,836.22/x
  3. Step 3: Cross multiply
    19,690.46x = 29,530.65 × 5,836.22
  4. Step 4: Simplify right side
    19,690.46x = 172,347,370.14
  5. Step 5: Solve for x
    x = 172,347,370.14/19,690.46
  6. Step 6: Final answer
    x = 8,752.84

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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.