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Finding the Fourth Proportional to 19,808.01, 29,705.13 and 5,764.23

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Solution

The fourth proportional to 19,808.01, 29,705.13 and 5,764.23 is: 8,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.01 : 29,705.13 = 5,764.23 : x
  2. Step 2: Convert to fraction form
    19,808.01/29,705.13 = 5,764.23/x
  3. Step 3: Cross multiply
    19,808.01x = 29,705.13 × 5,764.23
  4. Step 4: Simplify right side
    19,808.01x = 171,227,201.50
  5. Step 5: Solve for x
    x = 171,227,201.50/19,808.01
  6. Step 6: Final answer
    x = 8,644.34

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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.