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Finding the Fourth Proportional to 17,522.94, 24,178.80 and 10,351.86

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Solution

The fourth proportional to 17,522.94, 24,178.80 and 10,351.86 is: 14,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.94 : 24,178.80 = 10,351.86 : x
  2. Step 2: Convert to fraction form
    17,522.94/24,178.80 = 10,351.86/x
  3. Step 3: Cross multiply
    17,522.94x = 24,178.80 × 10,351.86
  4. Step 4: Simplify right side
    17,522.94x = 250,295,500.72
  5. Step 5: Solve for x
    x = 250,295,500.72/17,522.94
  6. Step 6: Final answer
    x = 14,283.88

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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.