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Finding the Fourth Proportional to 30,809.64, 42,515.77 and 17,380.84

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Solution

The fourth proportional to 30,809.64, 42,515.77 and 17,380.84 is: 23,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.64 : 42,515.77 = 17,380.84 : x
  2. Step 2: Convert to fraction form
    30,809.64/42,515.77 = 17,380.84/x
  3. Step 3: Cross multiply
    30,809.64x = 42,515.77 × 17,380.84
  4. Step 4: Simplify right side
    30,809.64x = 738,959,795.85
  5. Step 5: Solve for x
    x = 738,959,795.85/30,809.64
  6. Step 6: Final answer
    x = 23,984.69

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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.