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Finding the Fourth Proportional to 16,212.57, 22,369.53 and 9,839.01

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Solution

The fourth proportional to 16,212.57, 22,369.53 and 9,839.01 is: 13,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.57 : 22,369.53 = 9,839.01 : x
  2. Step 2: Convert to fraction form
    16,212.57/22,369.53 = 9,839.01/x
  3. Step 3: Cross multiply
    16,212.57x = 22,369.53 × 9,839.01
  4. Step 4: Simplify right side
    16,212.57x = 220,094,029.37
  5. Step 5: Solve for x
    x = 220,094,029.37/16,212.57
  6. Step 6: Final answer
    x = 13,575.52

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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.