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Finding the Fourth Proportional to 16,090.21, 22,204.49 and 9,802.58

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Solution

The fourth proportional to 16,090.21, 22,204.49 and 9,802.58 is: 13,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.21 : 22,204.49 = 9,802.58 : x
  2. Step 2: Convert to fraction form
    16,090.21/22,204.49 = 9,802.58/x
  3. Step 3: Cross multiply
    16,090.21x = 22,204.49 × 9,802.58
  4. Step 4: Simplify right side
    16,090.21x = 217,661,289.58
  5. Step 5: Solve for x
    x = 217,661,289.58/16,090.21
  6. Step 6: Final answer
    x = 13,527.56

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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.