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Finding the Fourth Proportional to 13,509.75, 20,287.04 and 8,348.43

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Solution

The fourth proportional to 13,509.75, 20,287.04 and 8,348.43 is: 12,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.75 : 20,287.04 = 8,348.43 : x
  2. Step 2: Convert to fraction form
    13,509.75/20,287.04 = 8,348.43/x
  3. Step 3: Cross multiply
    13,509.75x = 20,287.04 × 8,348.43
  4. Step 4: Simplify right side
    13,509.75x = 169,364,891.61
  5. Step 5: Solve for x
    x = 169,364,891.61/13,509.75
  6. Step 6: Final answer
    x = 12,536.49

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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.