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Finding the Fourth Proportional to 19,894.26, 29,841.42 and 9,474.42

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Solution

The fourth proportional to 19,894.26, 29,841.42 and 9,474.42 is: 14,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.26 : 29,841.42 = 9,474.42 : x
  2. Step 2: Convert to fraction form
    19,894.26/29,841.42 = 9,474.42/x
  3. Step 3: Cross multiply
    19,894.26x = 29,841.42 × 9,474.42
  4. Step 4: Simplify right side
    19,894.26x = 282,730,146.48
  5. Step 5: Solve for x
    x = 282,730,146.48/19,894.26
  6. Step 6: Final answer
    x = 14,211.64

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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.