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Finding the Fourth Proportional to 16,523.82, 22,802.31 and 9,450.09

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Solution

The fourth proportional to 16,523.82, 22,802.31 and 9,450.09 is: 13,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.82 : 22,802.31 = 9,450.09 : x
  2. Step 2: Convert to fraction form
    16,523.82/22,802.31 = 9,450.09/x
  3. Step 3: Cross multiply
    16,523.82x = 22,802.31 × 9,450.09
  4. Step 4: Simplify right side
    16,523.82x = 215,483,881.71
  5. Step 5: Solve for x
    x = 215,483,881.71/16,523.82
  6. Step 6: Final answer
    x = 13,040.80

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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.