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Finding the Fourth Proportional to 16,102.76, 22,221.80 and 9,388.68

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Solution

The fourth proportional to 16,102.76, 22,221.80 and 9,388.68 is: 12,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.76 : 22,221.80 = 9,388.68 : x
  2. Step 2: Convert to fraction form
    16,102.76/22,221.80 = 9,388.68/x
  3. Step 3: Cross multiply
    16,102.76x = 22,221.80 × 9,388.68
  4. Step 4: Simplify right side
    16,102.76x = 208,633,369.22
  5. Step 5: Solve for x
    x = 208,633,369.22/16,102.76
  6. Step 6: Final answer
    x = 12,956.37

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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.