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Finding the Fourth Proportional to 12,599.37, 18,874.44 and 9,261.47

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Solution

The fourth proportional to 12,599.37, 18,874.44 and 9,261.47 is: 13,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.37 : 18,874.44 = 9,261.47 : x
  2. Step 2: Convert to fraction form
    12,599.37/18,874.44 = 9,261.47/x
  3. Step 3: Cross multiply
    12,599.37x = 18,874.44 × 9,261.47
  4. Step 4: Simplify right side
    12,599.37x = 174,805,107.01
  5. Step 5: Solve for x
    x = 174,805,107.01/12,599.37
  6. Step 6: Final answer
    x = 13,874.11

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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.