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Finding the Fourth Proportional to 21,690.70, 32,537.18 and 6,109.54

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Solution

The fourth proportional to 21,690.70, 32,537.18 and 6,109.54 is: 9,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.70 : 32,537.18 = 6,109.54 : x
  2. Step 2: Convert to fraction form
    21,690.70/32,537.18 = 6,109.54/x
  3. Step 3: Cross multiply
    21,690.70x = 32,537.18 × 6,109.54
  4. Step 4: Simplify right side
    21,690.70x = 198,787,202.70
  5. Step 5: Solve for x
    x = 198,787,202.70/21,690.70
  6. Step 6: Final answer
    x = 9,164.63

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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.