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Finding the Fourth Proportional to 12,005.42, 17,999.39 and 5,678.06

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Solution

The fourth proportional to 12,005.42, 17,999.39 and 5,678.06 is: 8,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.42 : 17,999.39 = 5,678.06 : x
  2. Step 2: Convert to fraction form
    12,005.42/17,999.39 = 5,678.06/x
  3. Step 3: Cross multiply
    12,005.42x = 17,999.39 × 5,678.06
  4. Step 4: Simplify right side
    12,005.42x = 102,201,498.00
  5. Step 5: Solve for x
    x = 102,201,498.00/12,005.42
  6. Step 6: Final answer
    x = 8,512.95

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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.