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Finding the Fourth Proportional to 16,102.75, 22,221.80 and 9,388.66

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Solution

The fourth proportional to 16,102.75, 22,221.80 and 9,388.66 is: 12,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.75 : 22,221.80 = 9,388.66 : x
  2. Step 2: Convert to fraction form
    16,102.75/22,221.80 = 9,388.66/x
  3. Step 3: Cross multiply
    16,102.75x = 22,221.80 × 9,388.66
  4. Step 4: Simplify right side
    16,102.75x = 208,632,924.79
  5. Step 5: Solve for x
    x = 208,632,924.79/16,102.75
  6. Step 6: Final answer
    x = 12,956.35

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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.