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Finding the Fourth Proportional to 17,466.02, 24,103.11 and 9,508.24

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Solution

The fourth proportional to 17,466.02, 24,103.11 and 9,508.24 is: 13,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.02 : 24,103.11 = 9,508.24 : x
  2. Step 2: Convert to fraction form
    17,466.02/24,103.11 = 9,508.24/x
  3. Step 3: Cross multiply
    17,466.02x = 24,103.11 × 9,508.24
  4. Step 4: Simplify right side
    17,466.02x = 229,178,184.76
  5. Step 5: Solve for x
    x = 229,178,184.76/17,466.02
  6. Step 6: Final answer
    x = 13,121.38

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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.