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Finding the Fourth Proportional to 19,772.72, 29,645.08 and 9,904.96

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Solution

The fourth proportional to 19,772.72, 29,645.08 and 9,904.96 is: 14,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.72 : 29,645.08 = 9,904.96 : x
  2. Step 2: Convert to fraction form
    19,772.72/29,645.08 = 9,904.96/x
  3. Step 3: Cross multiply
    19,772.72x = 29,645.08 × 9,904.96
  4. Step 4: Simplify right side
    19,772.72x = 293,633,331.60
  5. Step 5: Solve for x
    x = 293,633,331.60/19,772.72
  6. Step 6: Final answer
    x = 14,850.43

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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.