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Finding the Fourth Proportional to 16,383.14, 22,606.44 and 9,212.06

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Solution

The fourth proportional to 16,383.14, 22,606.44 and 9,212.06 is: 12,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.14 : 22,606.44 = 9,212.06 : x
  2. Step 2: Convert to fraction form
    16,383.14/22,606.44 = 9,212.06/x
  3. Step 3: Cross multiply
    16,383.14x = 22,606.44 × 9,212.06
  4. Step 4: Simplify right side
    16,383.14x = 208,251,881.67
  5. Step 5: Solve for x
    x = 208,251,881.67/16,383.14
  6. Step 6: Final answer
    x = 12,711.35

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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.