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Finding the Fourth Proportional to 17,384.52, 26,076.51 and 6,996

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Solution

The fourth proportional to 17,384.52, 26,076.51 and 6,996 is: 10,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.52 : 26,076.51 = 6,996 : x
  2. Step 2: Convert to fraction form
    17,384.52/26,076.51 = 6,996/x
  3. Step 3: Cross multiply
    17,384.52x = 26,076.51 × 6,996
  4. Step 4: Simplify right side
    17,384.52x = 182,431,263.96
  5. Step 5: Solve for x
    x = 182,431,263.96/17,384.52
  6. Step 6: Final answer
    x = 10,493.89

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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.