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Finding the Fourth Proportional to 12,765.69, 17,617.55 and 7,461.09

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Solution

The fourth proportional to 12,765.69, 17,617.55 and 7,461.09 is: 10,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.69 : 17,617.55 = 7,461.09 : x
  2. Step 2: Convert to fraction form
    12,765.69/17,617.55 = 7,461.09/x
  3. Step 3: Cross multiply
    12,765.69x = 17,617.55 × 7,461.09
  4. Step 4: Simplify right side
    12,765.69x = 131,446,088.82
  5. Step 5: Solve for x
    x = 131,446,088.82/12,765.69
  6. Step 6: Final answer
    x = 10,296.83

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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.