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Finding the Fourth Proportional to 16,122, 22,252.20 and 9,839.64

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Solution

The fourth proportional to 16,122, 22,252.20 and 9,839.64 is: 13,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122 : 22,252.20 = 9,839.64 : x
  2. Step 2: Convert to fraction form
    16,122/22,252.20 = 9,839.64/x
  3. Step 3: Cross multiply
    16,122x = 22,252.20 × 9,839.64
  4. Step 4: Simplify right side
    16,122x = 218,953,637.21
  5. Step 5: Solve for x
    x = 218,953,637.21/16,122
  6. Step 6: Final answer
    x = 13,581.05

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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.