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Finding the Fourth Proportional to 12,051.16, 18,076.78 and 6,209.48

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Solution

The fourth proportional to 12,051.16, 18,076.78 and 6,209.48 is: 9,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.16 : 18,076.78 = 6,209.48 : x
  2. Step 2: Convert to fraction form
    12,051.16/18,076.78 = 6,209.48/x
  3. Step 3: Cross multiply
    12,051.16x = 18,076.78 × 6,209.48
  4. Step 4: Simplify right side
    12,051.16x = 112,247,403.87
  5. Step 5: Solve for x
    x = 112,247,403.87/12,051.16
  6. Step 6: Final answer
    x = 9,314.24

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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.