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Finding the Fourth Proportional to 19,642.09, 29,464.08 and 6,494.17

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Solution

The fourth proportional to 19,642.09, 29,464.08 and 6,494.17 is: 9,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.09 : 29,464.08 = 6,494.17 : x
  2. Step 2: Convert to fraction form
    19,642.09/29,464.08 = 6,494.17/x
  3. Step 3: Cross multiply
    19,642.09x = 29,464.08 × 6,494.17
  4. Step 4: Simplify right side
    19,642.09x = 191,344,744.41
  5. Step 5: Solve for x
    x = 191,344,744.41/19,642.09
  6. Step 6: Final answer
    x = 9,741.57

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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.