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Finding the Fourth Proportional to 14,004.08, 19,331.16 and 8,414

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Solution

The fourth proportional to 14,004.08, 19,331.16 and 8,414 is: 11,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.08 : 19,331.16 = 8,414 : x
  2. Step 2: Convert to fraction form
    14,004.08/19,331.16 = 8,414/x
  3. Step 3: Cross multiply
    14,004.08x = 19,331.16 × 8,414
  4. Step 4: Simplify right side
    14,004.08x = 162,652,380.24
  5. Step 5: Solve for x
    x = 162,652,380.24/14,004.08
  6. Step 6: Final answer
    x = 11,614.64

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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.