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Finding the Fourth Proportional to 13,377.34, 18,460.02 and 7,408.54

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Solution

The fourth proportional to 13,377.34, 18,460.02 and 7,408.54 is: 10,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.34 : 18,460.02 = 7,408.54 : x
  2. Step 2: Convert to fraction form
    13,377.34/18,460.02 = 7,408.54/x
  3. Step 3: Cross multiply
    13,377.34x = 18,460.02 × 7,408.54
  4. Step 4: Simplify right side
    13,377.34x = 136,761,796.57
  5. Step 5: Solve for x
    x = 136,761,796.57/13,377.34
  6. Step 6: Final answer
    x = 10,223.39

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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.