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Finding the Fourth Proportional to 10,197.50, 15,293.45 and 2,800.20

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Solution

The fourth proportional to 10,197.50, 15,293.45 and 2,800.20 is: 4,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.50 : 15,293.45 = 2,800.20 : x
  2. Step 2: Convert to fraction form
    10,197.50/15,293.45 = 2,800.20/x
  3. Step 3: Cross multiply
    10,197.50x = 15,293.45 × 2,800.20
  4. Step 4: Simplify right side
    10,197.50x = 42,824,704.69
  5. Step 5: Solve for x
    x = 42,824,704.69/10,197.50
  6. Step 6: Final answer
    x = 4,199.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.