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Finding the Fourth Proportional to 17,784.02, 26,676.01 and 5,472.02

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Solution

The fourth proportional to 17,784.02, 26,676.01 and 5,472.02 is: 8,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.02 : 26,676.01 = 5,472.02 : x
  2. Step 2: Convert to fraction form
    17,784.02/26,676.01 = 5,472.02/x
  3. Step 3: Cross multiply
    17,784.02x = 26,676.01 × 5,472.02
  4. Step 4: Simplify right side
    17,784.02x = 145,971,660.24
  5. Step 5: Solve for x
    x = 145,971,660.24/17,784.02
  6. Step 6: Final answer
    x = 8,208.02

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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.