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Finding the Fourth Proportional to 14,074.28, 19,414.04 and 9,294.27

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Solution

The fourth proportional to 14,074.28, 19,414.04 and 9,294.27 is: 12,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.28 : 19,414.04 = 9,294.27 : x
  2. Step 2: Convert to fraction form
    14,074.28/19,414.04 = 9,294.27/x
  3. Step 3: Cross multiply
    14,074.28x = 19,414.04 × 9,294.27
  4. Step 4: Simplify right side
    14,074.28x = 180,439,255.72
  5. Step 5: Solve for x
    x = 180,439,255.72/14,074.28
  6. Step 6: Final answer
    x = 12,820.50

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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.