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Finding the Fourth Proportional to 14,523.32, 21,794.67 and 5,289.32

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Solution

The fourth proportional to 14,523.32, 21,794.67 and 5,289.32 is: 7,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.32 : 21,794.67 = 5,289.32 : x
  2. Step 2: Convert to fraction form
    14,523.32/21,794.67 = 5,289.32/x
  3. Step 3: Cross multiply
    14,523.32x = 21,794.67 × 5,289.32
  4. Step 4: Simplify right side
    14,523.32x = 115,278,874.95
  5. Step 5: Solve for x
    x = 115,278,874.95/14,523.32
  6. Step 6: Final answer
    x = 7,937.50

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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.