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Finding the Fourth Proportional to 25,794.92, 38,692.43 and 7,075.13

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Solution

The fourth proportional to 25,794.92, 38,692.43 and 7,075.13 is: 10,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.92 : 38,692.43 = 7,075.13 : x
  2. Step 2: Convert to fraction form
    25,794.92/38,692.43 = 7,075.13/x
  3. Step 3: Cross multiply
    25,794.92x = 38,692.43 × 7,075.13
  4. Step 4: Simplify right side
    25,794.92x = 273,753,743.43
  5. Step 5: Solve for x
    x = 273,753,743.43/25,794.92
  6. Step 6: Final answer
    x = 10,612.70

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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.