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Finding the Fourth Proportional to 22,314.63, 33,472.05 and 7,523.67

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Solution

The fourth proportional to 22,314.63, 33,472.05 and 7,523.67 is: 11,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.63 : 33,472.05 = 7,523.67 : x
  2. Step 2: Convert to fraction form
    22,314.63/33,472.05 = 7,523.67/x
  3. Step 3: Cross multiply
    22,314.63x = 33,472.05 × 7,523.67
  4. Step 4: Simplify right side
    22,314.63x = 251,832,749.40
  5. Step 5: Solve for x
    x = 251,832,749.40/22,314.63
  6. Step 6: Final answer
    x = 11,285.55

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1.5x scale

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.