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Finding the Fourth Proportional to 13,883.58, 20,825.70 and 4,523.61

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Solution

The fourth proportional to 13,883.58, 20,825.70 and 4,523.61 is: 6,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.58 : 20,825.70 = 4,523.61 : x
  2. Step 2: Convert to fraction form
    13,883.58/20,825.70 = 4,523.61/x
  3. Step 3: Cross multiply
    13,883.58x = 20,825.70 × 4,523.61
  4. Step 4: Simplify right side
    13,883.58x = 94,207,344.78
  5. Step 5: Solve for x
    x = 94,207,344.78/13,883.58
  6. Step 6: Final answer
    x = 6,785.52

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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.