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Finding the Fourth Proportional to 21,353.68, 32,031.24 and 5,771.44

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Solution

The fourth proportional to 21,353.68, 32,031.24 and 5,771.44 is: 8,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.68 : 32,031.24 = 5,771.44 : x
  2. Step 2: Convert to fraction form
    21,353.68/32,031.24 = 5,771.44/x
  3. Step 3: Cross multiply
    21,353.68x = 32,031.24 × 5,771.44
  4. Step 4: Simplify right side
    21,353.68x = 184,866,379.79
  5. Step 5: Solve for x
    x = 184,866,379.79/21,353.68
  6. Step 6: Final answer
    x = 8,657.35

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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.