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Finding the Fourth Proportional to 19,679.12, 29,525.73 and 8,429.74

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Solution

The fourth proportional to 19,679.12, 29,525.73 and 8,429.74 is: 12,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.12 : 29,525.73 = 8,429.74 : x
  2. Step 2: Convert to fraction form
    19,679.12/29,525.73 = 8,429.74/x
  3. Step 3: Cross multiply
    19,679.12x = 29,525.73 × 8,429.74
  4. Step 4: Simplify right side
    19,679.12x = 248,894,121.78
  5. Step 5: Solve for x
    x = 248,894,121.78/19,679.12
  6. Step 6: Final answer
    x = 12,647.63

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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.