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Finding the Fourth Proportional to 29,838.60, 41,174.04 and 17,261

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Solution

The fourth proportional to 29,838.60, 41,174.04 and 17,261 is: 23,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.60 : 41,174.04 = 17,261 : x
  2. Step 2: Convert to fraction form
    29,838.60/41,174.04 = 17,261/x
  3. Step 3: Cross multiply
    29,838.60x = 41,174.04 × 17,261
  4. Step 4: Simplify right side
    29,838.60x = 710,705,104.44
  5. Step 5: Solve for x
    x = 710,705,104.44/29,838.60
  6. Step 6: Final answer
    x = 23,818.31

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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.