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Finding the Fourth Proportional to 15,442, 21,310.36 and 9,390.22

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Solution

The fourth proportional to 15,442, 21,310.36 and 9,390.22 is: 12,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442 : 21,310.36 = 9,390.22 : x
  2. Step 2: Convert to fraction form
    15,442/21,310.36 = 9,390.22/x
  3. Step 3: Cross multiply
    15,442x = 21,310.36 × 9,390.22
  4. Step 4: Simplify right side
    15,442x = 200,108,968.68
  5. Step 5: Solve for x
    x = 200,108,968.68/15,442
  6. Step 6: Final answer
    x = 12,958.75

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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.