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Finding the Fourth Proportional to 12,713.23, 19,074.35 and 5,692.69

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Solution

The fourth proportional to 12,713.23, 19,074.35 and 5,692.69 is: 8,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.23 : 19,074.35 = 5,692.69 : x
  2. Step 2: Convert to fraction form
    12,713.23/19,074.35 = 5,692.69/x
  3. Step 3: Cross multiply
    12,713.23x = 19,074.35 × 5,692.69
  4. Step 4: Simplify right side
    12,713.23x = 108,584,361.50
  5. Step 5: Solve for x
    x = 108,584,361.50/12,713.23
  6. Step 6: Final answer
    x = 8,541.05

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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.