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Finding the Fourth Proportional to 30,566.21, 42,183.42 and 17,138.33

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Solution

The fourth proportional to 30,566.21, 42,183.42 and 17,138.33 is: 23,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.21 : 42,183.42 = 17,138.33 : x
  2. Step 2: Convert to fraction form
    30,566.21/42,183.42 = 17,138.33/x
  3. Step 3: Cross multiply
    30,566.21x = 42,183.42 × 17,138.33
  4. Step 4: Simplify right side
    30,566.21x = 722,953,492.77
  5. Step 5: Solve for x
    x = 722,953,492.77/30,566.21
  6. Step 6: Final answer
    x = 23,652.05

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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.