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Finding the Fourth Proportional to 19,490.94, 29,232.20 and 6,164.97

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Solution

The fourth proportional to 19,490.94, 29,232.20 and 6,164.97 is: 9,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490.94 : 29,232.20 = 6,164.97 : x
  2. Step 2: Convert to fraction form
    19,490.94/29,232.20 = 6,164.97/x
  3. Step 3: Cross multiply
    19,490.94x = 29,232.20 × 6,164.97
  4. Step 4: Simplify right side
    19,490.94x = 180,215,605.21
  5. Step 5: Solve for x
    x = 180,215,605.21/19,490.94
  6. Step 6: Final answer
    x = 9,246.12

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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.