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Finding the Fourth Proportional to 16,416.10, 22,654.78 and 9,342.37

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Solution

The fourth proportional to 16,416.10, 22,654.78 and 9,342.37 is: 12,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.10 : 22,654.78 = 9,342.37 : x
  2. Step 2: Convert to fraction form
    16,416.10/22,654.78 = 9,342.37/x
  3. Step 3: Cross multiply
    16,416.10x = 22,654.78 × 9,342.37
  4. Step 4: Simplify right side
    16,416.10x = 211,649,200.40
  5. Step 5: Solve for x
    x = 211,649,200.40/16,416.10
  6. Step 6: Final answer
    x = 12,892.79

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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.