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Finding the Fourth Proportional to 17,728.50, 26,594.03 and 6,784.50

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Solution

The fourth proportional to 17,728.50, 26,594.03 and 6,784.50 is: 10,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.50 : 26,594.03 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    17,728.50/26,594.03 = 6,784.50/x
  3. Step 3: Cross multiply
    17,728.50x = 26,594.03 × 6,784.50
  4. Step 4: Simplify right side
    17,728.50x = 180,427,196.54
  5. Step 5: Solve for x
    x = 180,427,196.54/17,728.50
  6. Step 6: Final answer
    x = 10,177.24

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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.