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Finding the Fourth Proportional to 13,242, 18,274.44 and 7,274.22

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Solution

The fourth proportional to 13,242, 18,274.44 and 7,274.22 is: 10,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242 : 18,274.44 = 7,274.22 : x
  2. Step 2: Convert to fraction form
    13,242/18,274.44 = 7,274.22/x
  3. Step 3: Cross multiply
    13,242x = 18,274.44 × 7,274.22
  4. Step 4: Simplify right side
    13,242x = 132,932,296.94
  5. Step 5: Solve for x
    x = 132,932,296.94/13,242
  6. Step 6: Final answer
    x = 10,038.69

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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.