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Finding the Fourth Proportional to 19,604.52, 29,408.94 and 6,278.74

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Solution

The fourth proportional to 19,604.52, 29,408.94 and 6,278.74 is: 9,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.52 : 29,408.94 = 6,278.74 : x
  2. Step 2: Convert to fraction form
    19,604.52/29,408.94 = 6,278.74/x
  3. Step 3: Cross multiply
    19,604.52x = 29,408.94 × 6,278.74
  4. Step 4: Simplify right side
    19,604.52x = 184,651,014.41
  5. Step 5: Solve for x
    x = 184,651,014.41/19,604.52
  6. Step 6: Final answer
    x = 9,418.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.