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Finding the Fourth Proportional to 24,971.52, 37,453.50 and 9,385.50

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Solution

The fourth proportional to 24,971.52, 37,453.50 and 9,385.50 is: 14,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.52 : 37,453.50 = 9,385.50 : x
  2. Step 2: Convert to fraction form
    24,971.52/37,453.50 = 9,385.50/x
  3. Step 3: Cross multiply
    24,971.52x = 37,453.50 × 9,385.50
  4. Step 4: Simplify right side
    24,971.52x = 351,519,824.25
  5. Step 5: Solve for x
    x = 351,519,824.25/24,971.52
  6. Step 6: Final answer
    x = 14,076.83

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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.