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Finding the Fourth Proportional to 17,821.66, 26,732.21 and 6,134.98

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Solution

The fourth proportional to 17,821.66, 26,732.21 and 6,134.98 is: 9,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.66 : 26,732.21 = 6,134.98 : x
  2. Step 2: Convert to fraction form
    17,821.66/26,732.21 = 6,134.98/x
  3. Step 3: Cross multiply
    17,821.66x = 26,732.21 × 6,134.98
  4. Step 4: Simplify right side
    17,821.66x = 164,001,573.71
  5. Step 5: Solve for x
    x = 164,001,573.71/17,821.66
  6. Step 6: Final answer
    x = 9,202.37

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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.