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Finding the Fourth Proportional to 21,568.86, 32,353.47 and 6,777.45

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Solution

The fourth proportional to 21,568.86, 32,353.47 and 6,777.45 is: 10,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.86 : 32,353.47 = 6,777.45 : x
  2. Step 2: Convert to fraction form
    21,568.86/32,353.47 = 6,777.45/x
  3. Step 3: Cross multiply
    21,568.86x = 32,353.47 × 6,777.45
  4. Step 4: Simplify right side
    21,568.86x = 219,274,025.25
  5. Step 5: Solve for x
    x = 219,274,025.25/21,568.86
  6. Step 6: Final answer
    x = 10,166.23

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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.