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Finding the Fourth Proportional to 12,674.28, 19,004.58 and 5,745

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Solution

The fourth proportional to 12,674.28, 19,004.58 and 5,745 is: 8,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.28 : 19,004.58 = 5,745 : x
  2. Step 2: Convert to fraction form
    12,674.28/19,004.58 = 5,745/x
  3. Step 3: Cross multiply
    12,674.28x = 19,004.58 × 5,745
  4. Step 4: Simplify right side
    12,674.28x = 109,181,312.10
  5. Step 5: Solve for x
    x = 109,181,312.10/12,674.28
  6. Step 6: Final answer
    x = 8,614.40

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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.