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Finding the Fourth Proportional to 17,777, 26,666.14 and 6,682.52

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Solution

The fourth proportional to 17,777, 26,666.14 and 6,682.52 is: 10,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777 : 26,666.14 = 6,682.52 : x
  2. Step 2: Convert to fraction form
    17,777/26,666.14 = 6,682.52/x
  3. Step 3: Cross multiply
    17,777x = 26,666.14 × 6,682.52
  4. Step 4: Simplify right side
    17,777x = 178,197,013.87
  5. Step 5: Solve for x
    x = 178,197,013.87/17,777
  6. Step 6: Final answer
    x = 10,024.02

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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.