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Finding the Fourth Proportional to 30,980.20, 42,756.36 and 18,405

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Solution

The fourth proportional to 30,980.20, 42,756.36 and 18,405 is: 25,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.20 : 42,756.36 = 18,405 : x
  2. Step 2: Convert to fraction form
    30,980.20/42,756.36 = 18,405/x
  3. Step 3: Cross multiply
    30,980.20x = 42,756.36 × 18,405
  4. Step 4: Simplify right side
    30,980.20x = 786,930,805.80
  5. Step 5: Solve for x
    x = 786,930,805.80/30,980.20
  6. Step 6: Final answer
    x = 25,401.09

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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.