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Finding the Fourth Proportional to 21,277.02, 31,917.72 and 8,140.44

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Solution

The fourth proportional to 21,277.02, 31,917.72 and 8,140.44 is: 12,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.02 : 31,917.72 = 8,140.44 : x
  2. Step 2: Convert to fraction form
    21,277.02/31,917.72 = 8,140.44/x
  3. Step 3: Cross multiply
    21,277.02x = 31,917.72 × 8,140.44
  4. Step 4: Simplify right side
    21,277.02x = 259,824,284.60
  5. Step 5: Solve for x
    x = 259,824,284.60/21,277.02
  6. Step 6: Final answer
    x = 12,211.50

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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.