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Finding the Fourth Proportional to 17,558.40, 26,324.80 and 7,164.80

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Solution

The fourth proportional to 17,558.40, 26,324.80 and 7,164.80 is: 10,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,558.40 : 26,324.80 = 7,164.80 : x
  2. Step 2: Convert to fraction form
    17,558.40/26,324.80 = 7,164.80/x
  3. Step 3: Cross multiply
    17,558.40x = 26,324.80 × 7,164.80
  4. Step 4: Simplify right side
    17,558.40x = 188,611,927.04
  5. Step 5: Solve for x
    x = 188,611,927.04/17,558.40
  6. Step 6: Final answer
    x = 10,741.98

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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.