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Finding the Fourth Proportional to 17,851.20, 24,632.94 and 10,296

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Solution

The fourth proportional to 17,851.20, 24,632.94 and 10,296 is: 14,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.20 : 24,632.94 = 10,296 : x
  2. Step 2: Convert to fraction form
    17,851.20/24,632.94 = 10,296/x
  3. Step 3: Cross multiply
    17,851.20x = 24,632.94 × 10,296
  4. Step 4: Simplify right side
    17,851.20x = 253,620,750.24
  5. Step 5: Solve for x
    x = 253,620,750.24/17,851.20
  6. Step 6: Final answer
    x = 14,207.49

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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.