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Finding the Fourth Proportional to 12,084.47, 18,129.37 and 4,968.69

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Solution

The fourth proportional to 12,084.47, 18,129.37 and 4,968.69 is: 7,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.47 : 18,129.37 = 4,968.69 : x
  2. Step 2: Convert to fraction form
    12,084.47/18,129.37 = 4,968.69/x
  3. Step 3: Cross multiply
    12,084.47x = 18,129.37 × 4,968.69
  4. Step 4: Simplify right side
    12,084.47x = 90,079,128.78
  5. Step 5: Solve for x
    x = 90,079,128.78/12,084.47
  6. Step 6: Final answer
    x = 7,454.12

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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.