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Finding the Fourth Proportional to 17,184.20, 23,714.02 and 9,732.20

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Solution

The fourth proportional to 17,184.20, 23,714.02 and 9,732.20 is: 13,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.20 : 23,714.02 = 9,732.20 : x
  2. Step 2: Convert to fraction form
    17,184.20/23,714.02 = 9,732.20/x
  3. Step 3: Cross multiply
    17,184.20x = 23,714.02 × 9,732.20
  4. Step 4: Simplify right side
    17,184.20x = 230,789,585.44
  5. Step 5: Solve for x
    x = 230,789,585.44/17,184.20
  6. Step 6: Final answer
    x = 13,430.34

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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.