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Finding the Fourth Proportional to 17,427, 24,048.36 and 9,469.02

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Solution

The fourth proportional to 17,427, 24,048.36 and 9,469.02 is: 13,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427 : 24,048.36 = 9,469.02 : x
  2. Step 2: Convert to fraction form
    17,427/24,048.36 = 9,469.02/x
  3. Step 3: Cross multiply
    17,427x = 24,048.36 × 9,469.02
  4. Step 4: Simplify right side
    17,427x = 227,714,401.81
  5. Step 5: Solve for x
    x = 227,714,401.81/17,427
  6. Step 6: Final answer
    x = 13,066.76

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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.