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Finding the Fourth Proportional to 20,393.96, 30,585.87 and 5,602.14

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Solution

The fourth proportional to 20,393.96, 30,585.87 and 5,602.14 is: 8,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.96 : 30,585.87 = 5,602.14 : x
  2. Step 2: Convert to fraction form
    20,393.96/30,585.87 = 5,602.14/x
  3. Step 3: Cross multiply
    20,393.96x = 30,585.87 × 5,602.14
  4. Step 4: Simplify right side
    20,393.96x = 171,346,325.76
  5. Step 5: Solve for x
    x = 171,346,325.76/20,393.96
  6. Step 6: Final answer
    x = 8,401.82

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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.