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Finding the Fourth Proportional to 12,187.10, 18,252.90 and 9,538.08

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Solution

The fourth proportional to 12,187.10, 18,252.90 and 9,538.08 is: 14,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.10 : 18,252.90 = 9,538.08 : x
  2. Step 2: Convert to fraction form
    12,187.10/18,252.90 = 9,538.08/x
  3. Step 3: Cross multiply
    12,187.10x = 18,252.90 × 9,538.08
  4. Step 4: Simplify right side
    12,187.10x = 174,097,620.43
  5. Step 5: Solve for x
    x = 174,097,620.43/12,187.10
  6. Step 6: Final answer
    x = 14,285.41

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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.