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Finding the Fourth Proportional to 12,322.24, 17,005.08 and 7,016.20

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Solution

The fourth proportional to 12,322.24, 17,005.08 and 7,016.20 is: 9,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.24 : 17,005.08 = 7,016.20 : x
  2. Step 2: Convert to fraction form
    12,322.24/17,005.08 = 7,016.20/x
  3. Step 3: Cross multiply
    12,322.24x = 17,005.08 × 7,016.20
  4. Step 4: Simplify right side
    12,322.24x = 119,311,042.30
  5. Step 5: Solve for x
    x = 119,311,042.30/12,322.24
  6. Step 6: Final answer
    x = 9,682.58

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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.