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Finding the Fourth Proportional to 14,742.28, 20,344.08 and 8,454.16

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Solution

The fourth proportional to 14,742.28, 20,344.08 and 8,454.16 is: 11,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.28 : 20,344.08 = 8,454.16 : x
  2. Step 2: Convert to fraction form
    14,742.28/20,344.08 = 8,454.16/x
  3. Step 3: Cross multiply
    14,742.28x = 20,344.08 × 8,454.16
  4. Step 4: Simplify right side
    14,742.28x = 171,992,107.37
  5. Step 5: Solve for x
    x = 171,992,107.37/14,742.28
  6. Step 6: Final answer
    x = 11,666.59

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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.