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Finding the Fourth Proportional to 21,353.25, 32,029.89 and 5,770.89

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Solution

The fourth proportional to 21,353.25, 32,029.89 and 5,770.89 is: 8,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.25 : 32,029.89 = 5,770.89 : x
  2. Step 2: Convert to fraction form
    21,353.25/32,029.89 = 5,770.89/x
  3. Step 3: Cross multiply
    21,353.25x = 32,029.89 × 5,770.89
  4. Step 4: Simplify right side
    21,353.25x = 184,840,971.90
  5. Step 5: Solve for x
    x = 184,840,971.90/21,353.25
  6. Step 6: Final answer
    x = 8,656.34

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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.