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Finding the Fourth Proportional to 12,537.45, 18,769.28 and 9,265.14

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Solution

The fourth proportional to 12,537.45, 18,769.28 and 9,265.14 is: 13,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.45 : 18,769.28 = 9,265.14 : x
  2. Step 2: Convert to fraction form
    12,537.45/18,769.28 = 9,265.14/x
  3. Step 3: Cross multiply
    12,537.45x = 18,769.28 × 9,265.14
  4. Step 4: Simplify right side
    12,537.45x = 173,899,960.57
  5. Step 5: Solve for x
    x = 173,899,960.57/12,537.45
  6. Step 6: Final answer
    x = 13,870.44

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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.