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Finding the Fourth Proportional to 12,048.32, 18,074.16 and 3,729.06

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Solution

The fourth proportional to 12,048.32, 18,074.16 and 3,729.06 is: 5,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.32 : 18,074.16 = 3,729.06 : x
  2. Step 2: Convert to fraction form
    12,048.32/18,074.16 = 3,729.06/x
  3. Step 3: Cross multiply
    12,048.32x = 18,074.16 × 3,729.06
  4. Step 4: Simplify right side
    12,048.32x = 67,399,627.09
  5. Step 5: Solve for x
    x = 67,399,627.09/12,048.32
  6. Step 6: Final answer
    x = 5,594.11

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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.