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Finding the Fourth Proportional to 21,528.92, 32,293.34 and 5,946.50

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Solution

The fourth proportional to 21,528.92, 32,293.34 and 5,946.50 is: 8,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.92 : 32,293.34 = 5,946.50 : x
  2. Step 2: Convert to fraction form
    21,528.92/32,293.34 = 5,946.50/x
  3. Step 3: Cross multiply
    21,528.92x = 32,293.34 × 5,946.50
  4. Step 4: Simplify right side
    21,528.92x = 192,032,346.31
  5. Step 5: Solve for x
    x = 192,032,346.31/21,528.92
  6. Step 6: Final answer
    x = 8,919.74

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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.