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Finding the Fourth Proportional to 12,729.95, 19,106.16 and 6,161.05

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Solution

The fourth proportional to 12,729.95, 19,106.16 and 6,161.05 is: 9,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.95 : 19,106.16 = 6,161.05 : x
  2. Step 2: Convert to fraction form
    12,729.95/19,106.16 = 6,161.05/x
  3. Step 3: Cross multiply
    12,729.95x = 19,106.16 × 6,161.05
  4. Step 4: Simplify right side
    12,729.95x = 117,714,007.07
  5. Step 5: Solve for x
    x = 117,714,007.07/12,729.95
  6. Step 6: Final answer
    x = 9,247.01

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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.