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Finding the Fourth Proportional to 19,713.40, 29,564.70 and 8,027.80

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Solution

The fourth proportional to 19,713.40, 29,564.70 and 8,027.80 is: 12,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.40 : 29,564.70 = 8,027.80 : x
  2. Step 2: Convert to fraction form
    19,713.40/29,564.70 = 8,027.80/x
  3. Step 3: Cross multiply
    19,713.40x = 29,564.70 × 8,027.80
  4. Step 4: Simplify right side
    19,713.40x = 237,339,498.66
  5. Step 5: Solve for x
    x = 237,339,498.66/19,713.40
  6. Step 6: Final answer
    x = 12,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.