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Finding the Fourth Proportional to 17,851.86, 26,782.58 and 8,964.78

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Solution

The fourth proportional to 17,851.86, 26,782.58 and 8,964.78 is: 13,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.86 : 26,782.58 = 8,964.78 : x
  2. Step 2: Convert to fraction form
    17,851.86/26,782.58 = 8,964.78/x
  3. Step 3: Cross multiply
    17,851.86x = 26,782.58 × 8,964.78
  4. Step 4: Simplify right side
    17,851.86x = 240,099,892.71
  5. Step 5: Solve for x
    x = 240,099,892.71/17,851.86
  6. Step 6: Final answer
    x = 13,449.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.