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Finding the Fourth Proportional to 20,265.60, 30,401.76 and 7,114.56

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Solution

The fourth proportional to 20,265.60, 30,401.76 and 7,114.56 is: 10,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.60 : 30,401.76 = 7,114.56 : x
  2. Step 2: Convert to fraction form
    20,265.60/30,401.76 = 7,114.56/x
  3. Step 3: Cross multiply
    20,265.60x = 30,401.76 × 7,114.56
  4. Step 4: Simplify right side
    20,265.60x = 216,295,145.63
  5. Step 5: Solve for x
    x = 216,295,145.63/20,265.60
  6. Step 6: Final answer
    x = 10,673.02

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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.