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Finding the Fourth Proportional to 23,308.38, 34,931.43 and 8,503.38

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Solution

The fourth proportional to 23,308.38, 34,931.43 and 8,503.38 is: 12,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.38 : 34,931.43 = 8,503.38 : x
  2. Step 2: Convert to fraction form
    23,308.38/34,931.43 = 8,503.38/x
  3. Step 3: Cross multiply
    23,308.38x = 34,931.43 × 8,503.38
  4. Step 4: Simplify right side
    23,308.38x = 297,035,223.23
  5. Step 5: Solve for x
    x = 297,035,223.23/23,308.38
  6. Step 6: Final answer
    x = 12,743.71

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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.