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Finding the Fourth Proportional to 19,836.70, 29,759.91 and 9,158.06

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Solution

The fourth proportional to 19,836.70, 29,759.91 and 9,158.06 is: 13,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.70 : 29,759.91 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    19,836.70/29,759.91 = 9,158.06/x
  3. Step 3: Cross multiply
    19,836.70x = 29,759.91 × 9,158.06
  4. Step 4: Simplify right side
    19,836.70x = 272,543,081.43
  5. Step 5: Solve for x
    x = 272,543,081.43/19,836.70
  6. Step 6: Final answer
    x = 13,739.34

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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.