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Finding the Fourth Proportional to 12,574.22, 17,354.85 and 8,325.38

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Solution

The fourth proportional to 12,574.22, 17,354.85 and 8,325.38 is: 11,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.22 : 17,354.85 = 8,325.38 : x
  2. Step 2: Convert to fraction form
    12,574.22/17,354.85 = 8,325.38/x
  3. Step 3: Cross multiply
    12,574.22x = 17,354.85 × 8,325.38
  4. Step 4: Simplify right side
    12,574.22x = 144,485,721.09
  5. Step 5: Solve for x
    x = 144,485,721.09/12,574.22
  6. Step 6: Final answer
    x = 11,490.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.