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Finding the Fourth Proportional to 21,478.96, 32,213.52 and 5,897.84

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Solution

The fourth proportional to 21,478.96, 32,213.52 and 5,897.84 is: 8,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.96 : 32,213.52 = 5,897.84 : x
  2. Step 2: Convert to fraction form
    21,478.96/32,213.52 = 5,897.84/x
  3. Step 3: Cross multiply
    21,478.96x = 32,213.52 × 5,897.84
  4. Step 4: Simplify right side
    21,478.96x = 189,990,186.80
  5. Step 5: Solve for x
    x = 189,990,186.80/21,478.96
  6. Step 6: Final answer
    x = 8,845.41

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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.