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Finding the Fourth Proportional to 20,557.88, 30,818.31 and 7,401

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Solution

The fourth proportional to 20,557.88, 30,818.31 and 7,401 is: 11,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.88 : 30,818.31 = 7,401 : x
  2. Step 2: Convert to fraction form
    20,557.88/30,818.31 = 7,401/x
  3. Step 3: Cross multiply
    20,557.88x = 30,818.31 × 7,401
  4. Step 4: Simplify right side
    20,557.88x = 228,086,312.31
  5. Step 5: Solve for x
    x = 228,086,312.31/20,557.88
  6. Step 6: Final answer
    x = 11,094.84

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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.