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Finding the Fourth Proportional to 17,764.40, 26,614.20 and 10,830.80

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Solution

The fourth proportional to 17,764.40, 26,614.20 and 10,830.80 is: 16,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.40 : 26,614.20 = 10,830.80 : x
  2. Step 2: Convert to fraction form
    17,764.40/26,614.20 = 10,830.80/x
  3. Step 3: Cross multiply
    17,764.40x = 26,614.20 × 10,830.80
  4. Step 4: Simplify right side
    17,764.40x = 288,253,077.36
  5. Step 5: Solve for x
    x = 288,253,077.36/17,764.40
  6. Step 6: Final answer
    x = 16,226.45

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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.