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Finding the Fourth Proportional to 12,208.24, 16,842.36 and 7,724.08

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Solution

The fourth proportional to 12,208.24, 16,842.36 and 7,724.08 is: 10,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.24 : 16,842.36 = 7,724.08 : x
  2. Step 2: Convert to fraction form
    12,208.24/16,842.36 = 7,724.08/x
  3. Step 3: Cross multiply
    12,208.24x = 16,842.36 × 7,724.08
  4. Step 4: Simplify right side
    12,208.24x = 130,091,736.03
  5. Step 5: Solve for x
    x = 130,091,736.03/12,208.24
  6. Step 6: Final answer
    x = 10,656.06

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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.