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Finding the Fourth Proportional to 12,594.92, 17,372.12 and 10,693.43

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Solution

The fourth proportional to 12,594.92, 17,372.12 and 10,693.43 is: 14,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.92 : 17,372.12 = 10,693.43 : x
  2. Step 2: Convert to fraction form
    12,594.92/17,372.12 = 10,693.43/x
  3. Step 3: Cross multiply
    12,594.92x = 17,372.12 × 10,693.43
  4. Step 4: Simplify right side
    12,594.92x = 185,767,408.84
  5. Step 5: Solve for x
    x = 185,767,408.84/12,594.92
  6. Step 6: Final answer
    x = 14,749.39

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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.