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Finding the Fourth Proportional to 13,466.88, 18,583.92 and 7,498.26

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Solution

The fourth proportional to 13,466.88, 18,583.92 and 7,498.26 is: 10,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.88 : 18,583.92 = 7,498.26 : x
  2. Step 2: Convert to fraction form
    13,466.88/18,583.92 = 7,498.26/x
  3. Step 3: Cross multiply
    13,466.88x = 18,583.92 × 7,498.26
  4. Step 4: Simplify right side
    13,466.88x = 139,347,063.98
  5. Step 5: Solve for x
    x = 139,347,063.98/13,466.88
  6. Step 6: Final answer
    x = 10,347.39

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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.