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Finding the Fourth Proportional to 20,037.52, 30,059.01 and 8,348

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Solution

The fourth proportional to 20,037.52, 30,059.01 and 8,348 is: 12,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.52 : 30,059.01 = 8,348 : x
  2. Step 2: Convert to fraction form
    20,037.52/30,059.01 = 8,348/x
  3. Step 3: Cross multiply
    20,037.52x = 30,059.01 × 8,348
  4. Step 4: Simplify right side
    20,037.52x = 250,932,615.48
  5. Step 5: Solve for x
    x = 250,932,615.48/20,037.52
  6. Step 6: Final answer
    x = 12,523.14

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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.