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Finding the Fourth Proportional to 15,408.42, 21,262.41 and 8,695.68

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Solution

The fourth proportional to 15,408.42, 21,262.41 and 8,695.68 is: 11,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408.42 : 21,262.41 = 8,695.68 : x
  2. Step 2: Convert to fraction form
    15,408.42/21,262.41 = 8,695.68/x
  3. Step 3: Cross multiply
    15,408.42x = 21,262.41 × 8,695.68
  4. Step 4: Simplify right side
    15,408.42x = 184,891,113.39
  5. Step 5: Solve for x
    x = 184,891,113.39/15,408.42
  6. Step 6: Final answer
    x = 11,999.36

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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.