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Finding the Fourth Proportional to 20,254.58, 30,380.78 and 6,402.50

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Solution

The fourth proportional to 20,254.58, 30,380.78 and 6,402.50 is: 9,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.58 : 30,380.78 = 6,402.50 : x
  2. Step 2: Convert to fraction form
    20,254.58/30,380.78 = 6,402.50/x
  3. Step 3: Cross multiply
    20,254.58x = 30,380.78 × 6,402.50
  4. Step 4: Simplify right side
    20,254.58x = 194,512,943.95
  5. Step 5: Solve for x
    x = 194,512,943.95/20,254.58
  6. Step 6: Final answer
    x = 9,603.41

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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.