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Finding the Fourth Proportional to 12,692.69, 19,038.73 and 5,296.98

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Solution

The fourth proportional to 12,692.69, 19,038.73 and 5,296.98 is: 7,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.69 : 19,038.73 = 5,296.98 : x
  2. Step 2: Convert to fraction form
    12,692.69/19,038.73 = 5,296.98/x
  3. Step 3: Cross multiply
    12,692.69x = 19,038.73 × 5,296.98
  4. Step 4: Simplify right side
    12,692.69x = 100,847,772.04
  5. Step 5: Solve for x
    x = 100,847,772.04/12,692.69
  6. Step 6: Final answer
    x = 7,945.34

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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.