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Finding the Fourth Proportional to 18,384.30, 27,576.45 and 6,692.76

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Solution

The fourth proportional to 18,384.30, 27,576.45 and 6,692.76 is: 10,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.30 : 27,576.45 = 6,692.76 : x
  2. Step 2: Convert to fraction form
    18,384.30/27,576.45 = 6,692.76/x
  3. Step 3: Cross multiply
    18,384.30x = 27,576.45 × 6,692.76
  4. Step 4: Simplify right side
    18,384.30x = 184,562,561.50
  5. Step 5: Solve for x
    x = 184,562,561.50/18,384.30
  6. Step 6: Final answer
    x = 10,039.14

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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.