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Finding the Fourth Proportional to 15,766.88, 23,626.50 and 9,519.95

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Solution

The fourth proportional to 15,766.88, 23,626.50 and 9,519.95 is: 14,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.88 : 23,626.50 = 9,519.95 : x
  2. Step 2: Convert to fraction form
    15,766.88/23,626.50 = 9,519.95/x
  3. Step 3: Cross multiply
    15,766.88x = 23,626.50 × 9,519.95
  4. Step 4: Simplify right side
    15,766.88x = 224,922,980.54
  5. Step 5: Solve for x
    x = 224,922,980.54/15,766.88
  6. Step 6: Final answer
    x = 14,265.54

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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.