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Finding the Fourth Proportional to 14,674.38, 20,243.19 and 9,287.72

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Solution

The fourth proportional to 14,674.38, 20,243.19 and 9,287.72 is: 12,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.38 : 20,243.19 = 9,287.72 : x
  2. Step 2: Convert to fraction form
    14,674.38/20,243.19 = 9,287.72/x
  3. Step 3: Cross multiply
    14,674.38x = 20,243.19 × 9,287.72
  4. Step 4: Simplify right side
    14,674.38x = 188,013,080.63
  5. Step 5: Solve for x
    x = 188,013,080.63/14,674.38
  6. Step 6: Final answer
    x = 12,812.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.