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Finding the Fourth Proportional to 19,494.14, 29,243.70 and 6,342.03

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Solution

The fourth proportional to 19,494.14, 29,243.70 and 6,342.03 is: 9,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.14 : 29,243.70 = 6,342.03 : x
  2. Step 2: Convert to fraction form
    19,494.14/29,243.70 = 6,342.03/x
  3. Step 3: Cross multiply
    19,494.14x = 29,243.70 × 6,342.03
  4. Step 4: Simplify right side
    19,494.14x = 185,464,422.71
  5. Step 5: Solve for x
    x = 185,464,422.71/19,494.14
  6. Step 6: Final answer
    x = 9,513.86

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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.