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Finding the Fourth Proportional to 14,267.41, 21,407.25 and 7,692.06

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Solution

The fourth proportional to 14,267.41, 21,407.25 and 7,692.06 is: 11,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.41 : 21,407.25 = 7,692.06 : x
  2. Step 2: Convert to fraction form
    14,267.41/21,407.25 = 7,692.06/x
  3. Step 3: Cross multiply
    14,267.41x = 21,407.25 × 7,692.06
  4. Step 4: Simplify right side
    14,267.41x = 164,665,960.56
  5. Step 5: Solve for x
    x = 164,665,960.56/14,267.41
  6. Step 6: Final answer
    x = 11,541.41

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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.