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Finding the Fourth Proportional to 11,661.81, 17,495.21 and 4,266.24

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Solution

The fourth proportional to 11,661.81, 17,495.21 and 4,266.24 is: 6,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.81 : 17,495.21 = 4,266.24 : x
  2. Step 2: Convert to fraction form
    11,661.81/17,495.21 = 4,266.24/x
  3. Step 3: Cross multiply
    11,661.81x = 17,495.21 × 4,266.24
  4. Step 4: Simplify right side
    11,661.81x = 74,638,655.90
  5. Step 5: Solve for x
    x = 74,638,655.90/11,661.81
  6. Step 6: Final answer
    x = 6,400.27

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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.