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Finding the Fourth Proportional to 23,472.85, 35,205.59 and 7,677.75

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Solution

The fourth proportional to 23,472.85, 35,205.59 and 7,677.75 is: 11,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.85 : 35,205.59 = 7,677.75 : x
  2. Step 2: Convert to fraction form
    23,472.85/35,205.59 = 7,677.75/x
  3. Step 3: Cross multiply
    23,472.85x = 35,205.59 × 7,677.75
  4. Step 4: Simplify right side
    23,472.85x = 270,299,718.62
  5. Step 5: Solve for x
    x = 270,299,718.62/23,472.85
  6. Step 6: Final answer
    x = 11,515.42

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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.