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Finding the Fourth Proportional to 19,642.55, 29,464.31 and 6,494.92

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Solution

The fourth proportional to 19,642.55, 29,464.31 and 6,494.92 is: 9,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.55 : 29,464.31 = 6,494.92 : x
  2. Step 2: Convert to fraction form
    19,642.55/29,464.31 = 6,494.92/x
  3. Step 3: Cross multiply
    19,642.55x = 29,464.31 × 6,494.92
  4. Step 4: Simplify right side
    19,642.55x = 191,368,278.88
  5. Step 5: Solve for x
    x = 191,368,278.88/19,642.55
  6. Step 6: Final answer
    x = 9,742.54

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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.