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Finding the Fourth Proportional to 12,855, 17,741.36 and 7,266.36

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Solution

The fourth proportional to 12,855, 17,741.36 and 7,266.36 is: 10,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855 : 17,741.36 = 7,266.36 : x
  2. Step 2: Convert to fraction form
    12,855/17,741.36 = 7,266.36/x
  3. Step 3: Cross multiply
    12,855x = 17,741.36 × 7,266.36
  4. Step 4: Simplify right side
    12,855x = 128,915,108.65
  5. Step 5: Solve for x
    x = 128,915,108.65/12,855
  6. Step 6: Final answer
    x = 10,028.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.