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Finding the Fourth Proportional to 19,396.34, 29,092.88 and 7,706.42

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Solution

The fourth proportional to 19,396.34, 29,092.88 and 7,706.42 is: 11,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396.34 : 29,092.88 = 7,706.42 : x
  2. Step 2: Convert to fraction form
    19,396.34/29,092.88 = 7,706.42/x
  3. Step 3: Cross multiply
    19,396.34x = 29,092.88 × 7,706.42
  4. Step 4: Simplify right side
    19,396.34x = 224,201,952.29
  5. Step 5: Solve for x
    x = 224,201,952.29/19,396.34
  6. Step 6: Final answer
    x = 11,558.98

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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.