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Finding the Fourth Proportional to 19,522.98, 29,296.52 and 7,674.68

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Solution

The fourth proportional to 19,522.98, 29,296.52 and 7,674.68 is: 11,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.98 : 29,296.52 = 7,674.68 : x
  2. Step 2: Convert to fraction form
    19,522.98/29,296.52 = 7,674.68/x
  3. Step 3: Cross multiply
    19,522.98x = 29,296.52 × 7,674.68
  4. Step 4: Simplify right side
    19,522.98x = 224,841,231.26
  5. Step 5: Solve for x
    x = 224,841,231.26/19,522.98
  6. Step 6: Final answer
    x = 11,516.75

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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.