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Finding the Fourth Proportional to 21,566.96, 32,350.16 and 5,984

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Solution

The fourth proportional to 21,566.96, 32,350.16 and 5,984 is: 8,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566.96 : 32,350.16 = 5,984 : x
  2. Step 2: Convert to fraction form
    21,566.96/32,350.16 = 5,984/x
  3. Step 3: Cross multiply
    21,566.96x = 32,350.16 × 5,984
  4. Step 4: Simplify right side
    21,566.96x = 193,583,357.44
  5. Step 5: Solve for x
    x = 193,583,357.44/21,566.96
  6. Step 6: Final answer
    x = 8,975.92

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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.