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Finding the Fourth Proportional to 23,535.42, 35,307.44 and 7,741.33

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Solution

The fourth proportional to 23,535.42, 35,307.44 and 7,741.33 is: 11,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.42 : 35,307.44 = 7,741.33 : x
  2. Step 2: Convert to fraction form
    23,535.42/35,307.44 = 7,741.33/x
  3. Step 3: Cross multiply
    23,535.42x = 35,307.44 × 7,741.33
  4. Step 4: Simplify right side
    23,535.42x = 273,326,549.92
  5. Step 5: Solve for x
    x = 273,326,549.92/23,535.42
  6. Step 6: Final answer
    x = 11,613.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.