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Finding the Fourth Proportional to 21,528.68, 32,294.87 and 5,946.31

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Solution

The fourth proportional to 21,528.68, 32,294.87 and 5,946.31 is: 8,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.68 : 32,294.87 = 5,946.31 : x
  2. Step 2: Convert to fraction form
    21,528.68/32,294.87 = 5,946.31/x
  3. Step 3: Cross multiply
    21,528.68x = 32,294.87 × 5,946.31
  4. Step 4: Simplify right side
    21,528.68x = 192,035,308.43
  5. Step 5: Solve for x
    x = 192,035,308.43/21,528.68
  6. Step 6: Final answer
    x = 8,919.98

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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.