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Finding the Fourth Proportional to 12,426.36, 18,607.86 and 12,057

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Solution

The fourth proportional to 12,426.36, 18,607.86 and 12,057 is: 18,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.36 : 18,607.86 = 12,057 : x
  2. Step 2: Convert to fraction form
    12,426.36/18,607.86 = 12,057/x
  3. Step 3: Cross multiply
    12,426.36x = 18,607.86 × 12,057
  4. Step 4: Simplify right side
    12,426.36x = 224,354,968.02
  5. Step 5: Solve for x
    x = 224,354,968.02/12,426.36
  6. Step 6: Final answer
    x = 18,054.76

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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.