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Finding the Fourth Proportional to 19,840.64, 29,757.66 and 5,797.32

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Solution

The fourth proportional to 19,840.64, 29,757.66 and 5,797.32 is: 8,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.64 : 29,757.66 = 5,797.32 : x
  2. Step 2: Convert to fraction form
    19,840.64/29,757.66 = 5,797.32/x
  3. Step 3: Cross multiply
    19,840.64x = 29,757.66 × 5,797.32
  4. Step 4: Simplify right side
    19,840.64x = 172,514,677.47
  5. Step 5: Solve for x
    x = 172,514,677.47/19,840.64
  6. Step 6: Final answer
    x = 8,695.02

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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.