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Finding the Fourth Proportional to 24,692.75, 34,075.73 and 13,361.99

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Solution

The fourth proportional to 24,692.75, 34,075.73 and 13,361.99 is: 18,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.75 : 34,075.73 = 13,361.99 : x
  2. Step 2: Convert to fraction form
    24,692.75/34,075.73 = 13,361.99/x
  3. Step 3: Cross multiply
    24,692.75x = 34,075.73 × 13,361.99
  4. Step 4: Simplify right side
    24,692.75x = 455,319,496.69
  5. Step 5: Solve for x
    x = 455,319,496.69/24,692.75
  6. Step 6: Final answer
    x = 18,439.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.