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Finding the Fourth Proportional to 15,820.41, 23,736.31 and 7,394.42

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Solution

The fourth proportional to 15,820.41, 23,736.31 and 7,394.42 is: 11,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.41 : 23,736.31 = 7,394.42 : x
  2. Step 2: Convert to fraction form
    15,820.41/23,736.31 = 7,394.42/x
  3. Step 3: Cross multiply
    15,820.41x = 23,736.31 × 7,394.42
  4. Step 4: Simplify right side
    15,820.41x = 175,516,286.24
  5. Step 5: Solve for x
    x = 175,516,286.24/15,820.41
  6. Step 6: Final answer
    x = 11,094.29

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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.