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Finding the Fourth Proportional to 12,774.28, 17,625.71 and 7,466.66

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Solution

The fourth proportional to 12,774.28, 17,625.71 and 7,466.66 is: 10,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.28 : 17,625.71 = 7,466.66 : x
  2. Step 2: Convert to fraction form
    12,774.28/17,625.71 = 7,466.66/x
  3. Step 3: Cross multiply
    12,774.28x = 17,625.71 × 7,466.66
  4. Step 4: Simplify right side
    12,774.28x = 131,605,146.50
  5. Step 5: Solve for x
    x = 131,605,146.50/12,774.28
  6. Step 6: Final answer
    x = 10,302.36

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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.