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Finding the Fourth Proportional to 20,923.32, 31,384.98 and 7,779

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Solution

The fourth proportional to 20,923.32, 31,384.98 and 7,779 is: 11,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.32 : 31,384.98 = 7,779 : x
  2. Step 2: Convert to fraction form
    20,923.32/31,384.98 = 7,779/x
  3. Step 3: Cross multiply
    20,923.32x = 31,384.98 × 7,779
  4. Step 4: Simplify right side
    20,923.32x = 244,143,759.42
  5. Step 5: Solve for x
    x = 244,143,759.42/20,923.32
  6. Step 6: Final answer
    x = 11,668.50

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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.