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Finding the Fourth Proportional to 19,770.24, 29,650.92 and 5,730.24

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Solution

The fourth proportional to 19,770.24, 29,650.92 and 5,730.24 is: 8,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.24 : 29,650.92 = 5,730.24 : x
  2. Step 2: Convert to fraction form
    19,770.24/29,650.92 = 5,730.24/x
  3. Step 3: Cross multiply
    19,770.24x = 29,650.92 × 5,730.24
  4. Step 4: Simplify right side
    19,770.24x = 169,906,887.82
  5. Step 5: Solve for x
    x = 169,906,887.82/19,770.24
  6. Step 6: Final answer
    x = 8,594.07

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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.