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Finding the Fourth Proportional to 23,523.90, 35,274.51 and 13,666

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Solution

The fourth proportional to 23,523.90, 35,274.51 and 13,666 is: 20,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.90 : 35,274.51 = 13,666 : x
  2. Step 2: Convert to fraction form
    23,523.90/35,274.51 = 13,666/x
  3. Step 3: Cross multiply
    23,523.90x = 35,274.51 × 13,666
  4. Step 4: Simplify right side
    23,523.90x = 482,061,453.66
  5. Step 5: Solve for x
    x = 482,061,453.66/23,523.90
  6. Step 6: Final answer
    x = 20,492.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.