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Finding the Fourth Proportional to 12,537.46, 18,809.43 and 6,692.50

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Solution

The fourth proportional to 12,537.46, 18,809.43 and 6,692.50 is: 10,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.46 : 18,809.43 = 6,692.50 : x
  2. Step 2: Convert to fraction form
    12,537.46/18,809.43 = 6,692.50/x
  3. Step 3: Cross multiply
    12,537.46x = 18,809.43 × 6,692.50
  4. Step 4: Simplify right side
    12,537.46x = 125,882,110.28
  5. Step 5: Solve for x
    x = 125,882,110.28/12,537.46
  6. Step 6: Final answer
    x = 10,040.48

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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.