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Finding the Fourth Proportional to 14,584.56, 20,125.86 and 8,296.50

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Solution

The fourth proportional to 14,584.56, 20,125.86 and 8,296.50 is: 11,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.56 : 20,125.86 = 8,296.50 : x
  2. Step 2: Convert to fraction form
    14,584.56/20,125.86 = 8,296.50/x
  3. Step 3: Cross multiply
    14,584.56x = 20,125.86 × 8,296.50
  4. Step 4: Simplify right side
    14,584.56x = 166,974,197.49
  5. Step 5: Solve for x
    x = 166,974,197.49/14,584.56
  6. Step 6: Final answer
    x = 11,448.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.