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Finding the Fourth Proportional to 19,530.87, 29,295.09 and 8,429.76

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Solution

The fourth proportional to 19,530.87, 29,295.09 and 8,429.76 is: 12,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.87 : 29,295.09 = 8,429.76 : x
  2. Step 2: Convert to fraction form
    19,530.87/29,295.09 = 8,429.76/x
  3. Step 3: Cross multiply
    19,530.87x = 29,295.09 × 8,429.76
  4. Step 4: Simplify right side
    19,530.87x = 246,950,577.88
  5. Step 5: Solve for x
    x = 246,950,577.88/19,530.87
  6. Step 6: Final answer
    x = 12,644.12

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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.