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Finding the Fourth Proportional to 12,678.39, 17,494.83 and 7,012.24

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Solution

The fourth proportional to 12,678.39, 17,494.83 and 7,012.24 is: 9,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.39 : 17,494.83 = 7,012.24 : x
  2. Step 2: Convert to fraction form
    12,678.39/17,494.83 = 7,012.24/x
  3. Step 3: Cross multiply
    12,678.39x = 17,494.83 × 7,012.24
  4. Step 4: Simplify right side
    12,678.39x = 122,677,841.71
  5. Step 5: Solve for x
    x = 122,677,841.71/12,678.39
  6. Step 6: Final answer
    x = 9,676.14

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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.