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Finding the Fourth Proportional to 19,772.83, 29,659.24 and 9,909.80

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Solution

The fourth proportional to 19,772.83, 29,659.24 and 9,909.80 is: 14,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.83 : 29,659.24 = 9,909.80 : x
  2. Step 2: Convert to fraction form
    19,772.83/29,659.24 = 9,909.80/x
  3. Step 3: Cross multiply
    19,772.83x = 29,659.24 × 9,909.80
  4. Step 4: Simplify right side
    19,772.83x = 293,917,136.55
  5. Step 5: Solve for x
    x = 293,917,136.55/19,772.83
  6. Step 6: Final answer
    x = 14,864.70

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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.