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Finding the Fourth Proportional to 13,105.74, 18,085.53 and 7,441.02

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Solution

The fourth proportional to 13,105.74, 18,085.53 and 7,441.02 is: 10,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.74 : 18,085.53 = 7,441.02 : x
  2. Step 2: Convert to fraction form
    13,105.74/18,085.53 = 7,441.02/x
  3. Step 3: Cross multiply
    13,105.74x = 18,085.53 × 7,441.02
  4. Step 4: Simplify right side
    13,105.74x = 134,574,790.44
  5. Step 5: Solve for x
    x = 134,574,790.44/13,105.74
  6. Step 6: Final answer
    x = 10,268.39

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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.