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Finding the Fourth Proportional to 12,692.10, 19,042.04 and 5,678.01

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Solution

The fourth proportional to 12,692.10, 19,042.04 and 5,678.01 is: 8,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.10 : 19,042.04 = 5,678.01 : x
  2. Step 2: Convert to fraction form
    12,692.10/19,042.04 = 5,678.01/x
  3. Step 3: Cross multiply
    12,692.10x = 19,042.04 × 5,678.01
  4. Step 4: Simplify right side
    12,692.10x = 108,120,947.20
  5. Step 5: Solve for x
    x = 108,120,947.20/12,692.10
  6. Step 6: Final answer
    x = 8,518.76

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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.