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Finding the Fourth Proportional to 12,467.74, 17,206.13 and 7,162.89

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Solution

The fourth proportional to 12,467.74, 17,206.13 and 7,162.89 is: 9,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.74 : 17,206.13 = 7,162.89 : x
  2. Step 2: Convert to fraction form
    12,467.74/17,206.13 = 7,162.89/x
  3. Step 3: Cross multiply
    12,467.74x = 17,206.13 × 7,162.89
  4. Step 4: Simplify right side
    12,467.74x = 123,245,616.52
  5. Step 5: Solve for x
    x = 123,245,616.52/12,467.74
  6. Step 6: Final answer
    x = 9,885.16

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