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Finding the Fourth Proportional to 17,874.04, 26,804.22 and 6,024.64

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Solution

The fourth proportional to 17,874.04, 26,804.22 and 6,024.64 is: 9,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.04 : 26,804.22 = 6,024.64 : x
  2. Step 2: Convert to fraction form
    17,874.04/26,804.22 = 6,024.64/x
  3. Step 3: Cross multiply
    17,874.04x = 26,804.22 × 6,024.64
  4. Step 4: Simplify right side
    17,874.04x = 161,485,775.98
  5. Step 5: Solve for x
    x = 161,485,775.98/17,874.04
  6. Step 6: Final answer
    x = 9,034.65

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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.