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Finding the Fourth Proportional to 14,282.94, 19,692.06 and 9,238.26

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Solution

The fourth proportional to 14,282.94, 19,692.06 and 9,238.26 is: 12,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.94 : 19,692.06 = 9,238.26 : x
  2. Step 2: Convert to fraction form
    14,282.94/19,692.06 = 9,238.26/x
  3. Step 3: Cross multiply
    14,282.94x = 19,692.06 × 9,238.26
  4. Step 4: Simplify right side
    14,282.94x = 181,920,370.22
  5. Step 5: Solve for x
    x = 181,920,370.22/14,282.94
  6. Step 6: Final answer
    x = 12,736.90

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