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Finding the Fourth Proportional to 21,528.57, 32,298.98 and 8,384.70

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Solution

The fourth proportional to 21,528.57, 32,298.98 and 8,384.70 is: 12,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.57 : 32,298.98 = 8,384.70 : x
  2. Step 2: Convert to fraction form
    21,528.57/32,298.98 = 8,384.70/x
  3. Step 3: Cross multiply
    21,528.57x = 32,298.98 × 8,384.70
  4. Step 4: Simplify right side
    21,528.57x = 270,817,215.68
  5. Step 5: Solve for x
    x = 270,817,215.68/21,528.57
  6. Step 6: Final answer
    x = 12,579.43

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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.