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Finding the Fourth Proportional to 22,481.81, 31,023.30 and 12,408.63

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Solution

The fourth proportional to 22,481.81, 31,023.30 and 12,408.63 is: 17,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.81 : 31,023.30 = 12,408.63 : x
  2. Step 2: Convert to fraction form
    22,481.81/31,023.30 = 12,408.63/x
  3. Step 3: Cross multiply
    22,481.81x = 31,023.30 × 12,408.63
  4. Step 4: Simplify right side
    22,481.81x = 384,956,651.08
  5. Step 5: Solve for x
    x = 384,956,651.08/22,481.81
  6. Step 6: Final answer
    x = 17,123.03

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1.5x scale

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.