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Finding the Fourth Proportional to 12,051.54, 18,097.43 and 8,128.08

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Solution

The fourth proportional to 12,051.54, 18,097.43 and 8,128.08 is: 12,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.54 : 18,097.43 = 8,128.08 : x
  2. Step 2: Convert to fraction form
    12,051.54/18,097.43 = 8,128.08/x
  3. Step 3: Cross multiply
    12,051.54x = 18,097.43 × 8,128.08
  4. Step 4: Simplify right side
    12,051.54x = 147,097,318.19
  5. Step 5: Solve for x
    x = 147,097,318.19/12,051.54
  6. Step 6: Final answer
    x = 12,205.69

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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.