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Finding the Fourth Proportional to 14,274.18, 21,414.90 and 5,506.74

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Solution

The fourth proportional to 14,274.18, 21,414.90 and 5,506.74 is: 8,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.18 : 21,414.90 = 5,506.74 : x
  2. Step 2: Convert to fraction form
    14,274.18/21,414.90 = 5,506.74/x
  3. Step 3: Cross multiply
    14,274.18x = 21,414.90 × 5,506.74
  4. Step 4: Simplify right side
    14,274.18x = 117,926,286.43
  5. Step 5: Solve for x
    x = 117,926,286.43/14,274.18
  6. Step 6: Final answer
    x = 8,261.51

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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.