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Finding the Fourth Proportional to 16,523.36, 22,802.28 and 9,449.96

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Solution

The fourth proportional to 16,523.36, 22,802.28 and 9,449.96 is: 13,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.36 : 22,802.28 = 9,449.96 : x
  2. Step 2: Convert to fraction form
    16,523.36/22,802.28 = 9,449.96/x
  3. Step 3: Cross multiply
    16,523.36x = 22,802.28 × 9,449.96
  4. Step 4: Simplify right side
    16,523.36x = 215,480,633.91
  5. Step 5: Solve for x
    x = 215,480,633.91/16,523.36
  6. Step 6: Final answer
    x = 13,040.97

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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.