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Finding the Fourth Proportional to 12,692.32, 19,043.26 and 5,296.16

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Solution

The fourth proportional to 12,692.32, 19,043.26 and 5,296.16 is: 7,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.32 : 19,043.26 = 5,296.16 : x
  2. Step 2: Convert to fraction form
    12,692.32/19,043.26 = 5,296.16/x
  3. Step 3: Cross multiply
    12,692.32x = 19,043.26 × 5,296.16
  4. Step 4: Simplify right side
    12,692.32x = 100,856,186.25
  5. Step 5: Solve for x
    x = 100,856,186.25/12,692.32
  6. Step 6: Final answer
    x = 7,946.24

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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.