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Finding the Fourth Proportional to 14,274.57, 21,416.10 and 4,414.57

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Solution

The fourth proportional to 14,274.57, 21,416.10 and 4,414.57 is: 6,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.57 : 21,416.10 = 4,414.57 : x
  2. Step 2: Convert to fraction form
    14,274.57/21,416.10 = 4,414.57/x
  3. Step 3: Cross multiply
    14,274.57x = 21,416.10 × 4,414.57
  4. Step 4: Simplify right side
    14,274.57x = 94,542,872.58
  5. Step 5: Solve for x
    x = 94,542,872.58/14,274.57
  6. Step 6: Final answer
    x = 6,623.17

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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.