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Finding the Fourth Proportional to 20,290.80, 30,438.63 and 8,602.50

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Solution

The fourth proportional to 20,290.80, 30,438.63 and 8,602.50 is: 12,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.80 : 30,438.63 = 8,602.50 : x
  2. Step 2: Convert to fraction form
    20,290.80/30,438.63 = 8,602.50/x
  3. Step 3: Cross multiply
    20,290.80x = 30,438.63 × 8,602.50
  4. Step 4: Simplify right side
    20,290.80x = 261,848,314.58
  5. Step 5: Solve for x
    x = 261,848,314.58/20,290.80
  6. Step 6: Final answer
    x = 12,904.78

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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.