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Finding the Fourth Proportional to 30,712.44, 42,383.40 and 18,143.40

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Solution

The fourth proportional to 30,712.44, 42,383.40 and 18,143.40 is: 25,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.44 : 42,383.40 = 18,143.40 : x
  2. Step 2: Convert to fraction form
    30,712.44/42,383.40 = 18,143.40/x
  3. Step 3: Cross multiply
    30,712.44x = 42,383.40 × 18,143.40
  4. Step 4: Simplify right side
    30,712.44x = 768,978,979.56
  5. Step 5: Solve for x
    x = 768,978,979.56/30,712.44
  6. Step 6: Final answer
    x = 25,038.03

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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.