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Finding the Fourth Proportional to 14,500.40, 21,758.78 and 6,179.54

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Solution

The fourth proportional to 14,500.40, 21,758.78 and 6,179.54 is: 9,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.40 : 21,758.78 = 6,179.54 : x
  2. Step 2: Convert to fraction form
    14,500.40/21,758.78 = 6,179.54/x
  3. Step 3: Cross multiply
    14,500.40x = 21,758.78 × 6,179.54
  4. Step 4: Simplify right side
    14,500.40x = 134,459,251.36
  5. Step 5: Solve for x
    x = 134,459,251.36/14,500.40
  6. Step 6: Final answer
    x = 9,272.80

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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.