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Finding the Fourth Proportional to 21,968.26, 30,317.30 and 12,894.01

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Solution

The fourth proportional to 21,968.26, 30,317.30 and 12,894.01 is: 17,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.26 : 30,317.30 = 12,894.01 : x
  2. Step 2: Convert to fraction form
    21,968.26/30,317.30 = 12,894.01/x
  3. Step 3: Cross multiply
    21,968.26x = 30,317.30 × 12,894.01
  4. Step 4: Simplify right side
    21,968.26x = 390,911,537.14
  5. Step 5: Solve for x
    x = 390,911,537.14/21,968.26
  6. Step 6: Final answer
    x = 17,794.38

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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.