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Finding the Fourth Proportional to 19,765.34, 29,648.06 and 7,279.96

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Solution

The fourth proportional to 19,765.34, 29,648.06 and 7,279.96 is: 10,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.34 : 29,648.06 = 7,279.96 : x
  2. Step 2: Convert to fraction form
    19,765.34/29,648.06 = 7,279.96/x
  3. Step 3: Cross multiply
    19,765.34x = 29,648.06 × 7,279.96
  4. Step 4: Simplify right side
    19,765.34x = 215,836,690.88
  5. Step 5: Solve for x
    x = 215,836,690.88/19,765.34
  6. Step 6: Final answer
    x = 10,919.96

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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.