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Finding the Fourth Proportional to 14,697.38, 20,287.14 and 9,406.46

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Solution

The fourth proportional to 14,697.38, 20,287.14 and 9,406.46 is: 12,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.38 : 20,287.14 = 9,406.46 : x
  2. Step 2: Convert to fraction form
    14,697.38/20,287.14 = 9,406.46/x
  3. Step 3: Cross multiply
    14,697.38x = 20,287.14 × 9,406.46
  4. Step 4: Simplify right side
    14,697.38x = 190,830,170.92
  5. Step 5: Solve for x
    x = 190,830,170.92/14,697.38
  6. Step 6: Final answer
    x = 12,983.96

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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.