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Finding the Fourth Proportional to 19,512.28, 29,272.72 and 7,667.20

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Solution

The fourth proportional to 19,512.28, 29,272.72 and 7,667.20 is: 11,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.28 : 29,272.72 = 7,667.20 : x
  2. Step 2: Convert to fraction form
    19,512.28/29,272.72 = 7,667.20/x
  3. Step 3: Cross multiply
    19,512.28x = 29,272.72 × 7,667.20
  4. Step 4: Simplify right side
    19,512.28x = 224,439,798.78
  5. Step 5: Solve for x
    x = 224,439,798.78/19,512.28
  6. Step 6: Final answer
    x = 11,502.49

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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.