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Finding the Fourth Proportional to 19,512.08, 29,271 and 5,659.28

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Solution

The fourth proportional to 19,512.08, 29,271 and 5,659.28 is: 8,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.08 : 29,271 = 5,659.28 : x
  2. Step 2: Convert to fraction form
    19,512.08/29,271 = 5,659.28/x
  3. Step 3: Cross multiply
    19,512.08x = 29,271 × 5,659.28
  4. Step 4: Simplify right side
    19,512.08x = 165,652,784.88
  5. Step 5: Solve for x
    x = 165,652,784.88/19,512.08
  6. Step 6: Final answer
    x = 8,489.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.