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Finding the Fourth Proportional to 12,570.82, 17,346.72 and 7,265.98

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Solution

The fourth proportional to 12,570.82, 17,346.72 and 7,265.98 is: 10,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.82 : 17,346.72 = 7,265.98 : x
  2. Step 2: Convert to fraction form
    12,570.82/17,346.72 = 7,265.98/x
  3. Step 3: Cross multiply
    12,570.82x = 17,346.72 × 7,265.98
  4. Step 4: Simplify right side
    12,570.82x = 126,040,920.59
  5. Step 5: Solve for x
    x = 126,040,920.59/12,570.82
  6. Step 6: Final answer
    x = 10,026.47

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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.