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Finding the Fourth Proportional to 19,609.76, 29,394.38 and 7,758.74

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Solution

The fourth proportional to 19,609.76, 29,394.38 and 7,758.74 is: 11,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.76 : 29,394.38 = 7,758.74 : x
  2. Step 2: Convert to fraction form
    19,609.76/29,394.38 = 7,758.74/x
  3. Step 3: Cross multiply
    19,609.76x = 29,394.38 × 7,758.74
  4. Step 4: Simplify right side
    19,609.76x = 228,063,351.88
  5. Step 5: Solve for x
    x = 228,063,351.88/19,609.76
  6. Step 6: Final answer
    x = 11,630.09

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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.