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Finding the Fourth Proportional to 21,997.46, 32,953.64 and 13,680.80

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Solution

The fourth proportional to 21,997.46, 32,953.64 and 13,680.80 is: 20,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.46 : 32,953.64 = 13,680.80 : x
  2. Step 2: Convert to fraction form
    21,997.46/32,953.64 = 13,680.80/x
  3. Step 3: Cross multiply
    21,997.46x = 32,953.64 × 13,680.80
  4. Step 4: Simplify right side
    21,997.46x = 450,832,158.11
  5. Step 5: Solve for x
    x = 450,832,158.11/21,997.46
  6. Step 6: Final answer
    x = 20,494.74

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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.