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Finding the Fourth Proportional to 17,466.72, 24,099.98 and 9,911.34

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Solution

The fourth proportional to 17,466.72, 24,099.98 and 9,911.34 is: 13,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.72 : 24,099.98 = 9,911.34 : x
  2. Step 2: Convert to fraction form
    17,466.72/24,099.98 = 9,911.34/x
  3. Step 3: Cross multiply
    17,466.72x = 24,099.98 × 9,911.34
  4. Step 4: Simplify right side
    17,466.72x = 238,863,046.22
  5. Step 5: Solve for x
    x = 238,863,046.22/17,466.72
  6. Step 6: Final answer
    x = 13,675.32

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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.