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Finding the Fourth Proportional to 13,364.48, 18,442.94 and 7,314.80

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Solution

The fourth proportional to 13,364.48, 18,442.94 and 7,314.80 is: 10,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.48 : 18,442.94 = 7,314.80 : x
  2. Step 2: Convert to fraction form
    13,364.48/18,442.94 = 7,314.80/x
  3. Step 3: Cross multiply
    13,364.48x = 18,442.94 × 7,314.80
  4. Step 4: Simplify right side
    13,364.48x = 134,906,288.72
  5. Step 5: Solve for x
    x = 134,906,288.72/13,364.48
  6. Step 6: Final answer
    x = 10,094.39

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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.