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Finding the Fourth Proportional to 11,613.74, 17,420.60 and 4,216.82

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Solution

The fourth proportional to 11,613.74, 17,420.60 and 4,216.82 is: 6,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.74 : 17,420.60 = 4,216.82 : x
  2. Step 2: Convert to fraction form
    11,613.74/17,420.60 = 4,216.82/x
  3. Step 3: Cross multiply
    11,613.74x = 17,420.60 × 4,216.82
  4. Step 4: Simplify right side
    11,613.74x = 73,459,534.49
  5. Step 5: Solve for x
    x = 73,459,534.49/11,613.74
  6. Step 6: Final answer
    x = 6,325.23

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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.