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Finding the Fourth Proportional to 12,203.36, 18,305.34 and 3,437.94

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Solution

The fourth proportional to 12,203.36, 18,305.34 and 3,437.94 is: 5,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.36 : 18,305.34 = 3,437.94 : x
  2. Step 2: Convert to fraction form
    12,203.36/18,305.34 = 3,437.94/x
  3. Step 3: Cross multiply
    12,203.36x = 18,305.34 × 3,437.94
  4. Step 4: Simplify right side
    12,203.36x = 62,932,643.41
  5. Step 5: Solve for x
    x = 62,932,643.41/12,203.36
  6. Step 6: Final answer
    x = 5,157.00

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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.