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Finding the Fourth Proportional to 30,908.16, 42,660 and 18,977.76

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Solution

The fourth proportional to 30,908.16, 42,660 and 18,977.76 is: 26,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.16 : 42,660 = 18,977.76 : x
  2. Step 2: Convert to fraction form
    30,908.16/42,660 = 18,977.76/x
  3. Step 3: Cross multiply
    30,908.16x = 42,660 × 18,977.76
  4. Step 4: Simplify right side
    30,908.16x = 809,591,241.60
  5. Step 5: Solve for x
    x = 809,591,241.60/30,908.16
  6. Step 6: Final answer
    x = 26,193.45

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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.