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Finding the Fourth Proportional to 12,111.36, 16,717.74 and 7,642.56

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Solution

The fourth proportional to 12,111.36, 16,717.74 and 7,642.56 is: 10,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.36 : 16,717.74 = 7,642.56 : x
  2. Step 2: Convert to fraction form
    12,111.36/16,717.74 = 7,642.56/x
  3. Step 3: Cross multiply
    12,111.36x = 16,717.74 × 7,642.56
  4. Step 4: Simplify right side
    12,111.36x = 127,766,331.01
  5. Step 5: Solve for x
    x = 127,766,331.01/12,111.36
  6. Step 6: Final answer
    x = 10,549.30

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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.