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Finding the Fourth Proportional to 16,117.14, 22,242.03 and 9,044.09

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Solution

The fourth proportional to 16,117.14, 22,242.03 and 9,044.09 is: 12,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.14 : 22,242.03 = 9,044.09 : x
  2. Step 2: Convert to fraction form
    16,117.14/22,242.03 = 9,044.09/x
  3. Step 3: Cross multiply
    16,117.14x = 22,242.03 × 9,044.09
  4. Step 4: Simplify right side
    16,117.14x = 201,158,809.89
  5. Step 5: Solve for x
    x = 201,158,809.89/16,117.14
  6. Step 6: Final answer
    x = 12,481.05

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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.