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Finding the Fourth Proportional to 12,523.54, 17,282.49 and 7,807.82

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Solution

The fourth proportional to 12,523.54, 17,282.49 and 7,807.82 is: 10,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.54 : 17,282.49 = 7,807.82 : x
  2. Step 2: Convert to fraction form
    12,523.54/17,282.49 = 7,807.82/x
  3. Step 3: Cross multiply
    12,523.54x = 17,282.49 × 7,807.82
  4. Step 4: Simplify right side
    12,523.54x = 134,938,571.07
  5. Step 5: Solve for x
    x = 134,938,571.07/12,523.54
  6. Step 6: Final answer
    x = 10,774.79

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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.