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Finding the Fourth Proportional to 12,351.74, 17,045.24 and 7,046.64

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Solution

The fourth proportional to 12,351.74, 17,045.24 and 7,046.64 is: 9,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.74 : 17,045.24 = 7,046.64 : x
  2. Step 2: Convert to fraction form
    12,351.74/17,045.24 = 7,046.64/x
  3. Step 3: Cross multiply
    12,351.74x = 17,045.24 × 7,046.64
  4. Step 4: Simplify right side
    12,351.74x = 120,111,634.76
  5. Step 5: Solve for x
    x = 120,111,634.76/12,351.74
  6. Step 6: Final answer
    x = 9,724.27

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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.