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Finding the Fourth Proportional to 29,889.73, 41,264.40 and 17,956

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Solution

The fourth proportional to 29,889.73, 41,264.40 and 17,956 is: 24,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889.73 : 41,264.40 = 17,956 : x
  2. Step 2: Convert to fraction form
    29,889.73/41,264.40 = 17,956/x
  3. Step 3: Cross multiply
    29,889.73x = 41,264.40 × 17,956
  4. Step 4: Simplify right side
    29,889.73x = 740,943,566.40
  5. Step 5: Solve for x
    x = 740,943,566.40/29,889.73
  6. Step 6: Final answer
    x = 24,789.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.