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Finding the Fourth Proportional to 12,002.16, 18,004.32 and 6,738.96

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Solution

The fourth proportional to 12,002.16, 18,004.32 and 6,738.96 is: 10,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.16 : 18,004.32 = 6,738.96 : x
  2. Step 2: Convert to fraction form
    12,002.16/18,004.32 = 6,738.96/x
  3. Step 3: Cross multiply
    12,002.16x = 18,004.32 × 6,738.96
  4. Step 4: Simplify right side
    12,002.16x = 121,330,392.31
  5. Step 5: Solve for x
    x = 121,330,392.31/12,002.16
  6. Step 6: Final answer
    x = 10,109.05

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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.