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Finding the Fourth Proportional to 19,476.94, 29,188 and 11,144.48

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Solution

The fourth proportional to 19,476.94, 29,188 and 11,144.48 is: 16,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476.94 : 29,188 = 11,144.48 : x
  2. Step 2: Convert to fraction form
    19,476.94/29,188 = 11,144.48/x
  3. Step 3: Cross multiply
    19,476.94x = 29,188 × 11,144.48
  4. Step 4: Simplify right side
    19,476.94x = 325,285,082.24
  5. Step 5: Solve for x
    x = 325,285,082.24/19,476.94
  6. Step 6: Final answer
    x = 16,701.04

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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.