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Finding the Fourth Proportional to 35,274.24, 52,871.04 and 14,472

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Solution

The fourth proportional to 35,274.24, 52,871.04 and 14,472 is: 21,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,274.24 : 52,871.04 = 14,472 : x
  2. Step 2: Convert to fraction form
    35,274.24/52,871.04 = 14,472/x
  3. Step 3: Cross multiply
    35,274.24x = 52,871.04 × 14,472
  4. Step 4: Simplify right side
    35,274.24x = 765,149,690.88
  5. Step 5: Solve for x
    x = 765,149,690.88/35,274.24
  6. Step 6: Final answer
    x = 21,691.46

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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.