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Finding the Fourth Proportional to 19,476.56, 29,223.48 and 14,474

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Solution

The fourth proportional to 19,476.56, 29,223.48 and 14,474 is: 21,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476.56 : 29,223.48 = 14,474 : x
  2. Step 2: Convert to fraction form
    19,476.56/29,223.48 = 14,474/x
  3. Step 3: Cross multiply
    19,476.56x = 29,223.48 × 14,474
  4. Step 4: Simplify right side
    19,476.56x = 422,980,649.52
  5. Step 5: Solve for x
    x = 422,980,649.52/19,476.56
  6. Step 6: Final answer
    x = 21,717.42

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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.