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Finding the Fourth Proportional to 12,885.94, 19,321.46 and 6,874.60

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Solution

The fourth proportional to 12,885.94, 19,321.46 and 6,874.60 is: 10,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.94 : 19,321.46 = 6,874.60 : x
  2. Step 2: Convert to fraction form
    12,885.94/19,321.46 = 6,874.60/x
  3. Step 3: Cross multiply
    12,885.94x = 19,321.46 × 6,874.60
  4. Step 4: Simplify right side
    12,885.94x = 132,827,308.92
  5. Step 5: Solve for x
    x = 132,827,308.92/12,885.94
  6. Step 6: Final answer
    x = 10,307.93

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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.