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Finding the Fourth Proportional to 17,665.68, 24,380.36 and 10,112.64

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Solution

The fourth proportional to 17,665.68, 24,380.36 and 10,112.64 is: 13,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.68 : 24,380.36 = 10,112.64 : x
  2. Step 2: Convert to fraction form
    17,665.68/24,380.36 = 10,112.64/x
  3. Step 3: Cross multiply
    17,665.68x = 24,380.36 × 10,112.64
  4. Step 4: Simplify right side
    17,665.68x = 246,549,803.75
  5. Step 5: Solve for x
    x = 246,549,803.75/17,665.68
  6. Step 6: Final answer
    x = 13,956.43

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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.