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Finding the Fourth Proportional to 21,914.40, 32,871.60 and 7,123.80

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Solution

The fourth proportional to 21,914.40, 32,871.60 and 7,123.80 is: 10,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.40 : 32,871.60 = 7,123.80 : x
  2. Step 2: Convert to fraction form
    21,914.40/32,871.60 = 7,123.80/x
  3. Step 3: Cross multiply
    21,914.40x = 32,871.60 × 7,123.80
  4. Step 4: Simplify right side
    21,914.40x = 234,170,704.08
  5. Step 5: Solve for x
    x = 234,170,704.08/21,914.40
  6. Step 6: Final answer
    x = 10,685.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.