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Finding the Fourth Proportional to 19,725.87, 29,573.69 and 8,031.63

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Solution

The fourth proportional to 19,725.87, 29,573.69 and 8,031.63 is: 12,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.87 : 29,573.69 = 8,031.63 : x
  2. Step 2: Convert to fraction form
    19,725.87/29,573.69 = 8,031.63/x
  3. Step 3: Cross multiply
    19,725.87x = 29,573.69 × 8,031.63
  4. Step 4: Simplify right side
    19,725.87x = 237,524,895.66
  5. Step 5: Solve for x
    x = 237,524,895.66/19,725.87
  6. Step 6: Final answer
    x = 12,041.29

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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.