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Finding the Fourth Proportional to 14,251.60, 21,382.01 and 6,855.09

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Solution

The fourth proportional to 14,251.60, 21,382.01 and 6,855.09 is: 10,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.60 : 21,382.01 = 6,855.09 : x
  2. Step 2: Convert to fraction form
    14,251.60/21,382.01 = 6,855.09/x
  3. Step 3: Cross multiply
    14,251.60x = 21,382.01 × 6,855.09
  4. Step 4: Simplify right side
    14,251.60x = 146,575,602.93
  5. Step 5: Solve for x
    x = 146,575,602.93/14,251.60
  6. Step 6: Final answer
    x = 10,284.85

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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.