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Finding the Fourth Proportional to 12,271.94, 18,395.13 and 5,692.70

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Solution

The fourth proportional to 12,271.94, 18,395.13 and 5,692.70 is: 8,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.94 : 18,395.13 = 5,692.70 : x
  2. Step 2: Convert to fraction form
    12,271.94/18,395.13 = 5,692.70/x
  3. Step 3: Cross multiply
    12,271.94x = 18,395.13 × 5,692.70
  4. Step 4: Simplify right side
    12,271.94x = 104,717,956.55
  5. Step 5: Solve for x
    x = 104,717,956.55/12,271.94
  6. Step 6: Final answer
    x = 8,533.12

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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.