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Finding the Fourth Proportional to 30,809.34, 42,517.04 and 17,381.16

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Solution

The fourth proportional to 30,809.34, 42,517.04 and 17,381.16 is: 23,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.34 : 42,517.04 = 17,381.16 : x
  2. Step 2: Convert to fraction form
    30,809.34/42,517.04 = 17,381.16/x
  3. Step 3: Cross multiply
    30,809.34x = 42,517.04 × 17,381.16
  4. Step 4: Simplify right side
    30,809.34x = 738,995,388.06
  5. Step 5: Solve for x
    x = 738,995,388.06/30,809.34
  6. Step 6: Final answer
    x = 23,986.08

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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.