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Finding the Fourth Proportional to 14,464.60, 21,696.90 and 5,228.44

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Solution

The fourth proportional to 14,464.60, 21,696.90 and 5,228.44 is: 7,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.60 : 21,696.90 = 5,228.44 : x
  2. Step 2: Convert to fraction form
    14,464.60/21,696.90 = 5,228.44/x
  3. Step 3: Cross multiply
    14,464.60x = 21,696.90 × 5,228.44
  4. Step 4: Simplify right side
    14,464.60x = 113,440,939.84
  5. Step 5: Solve for x
    x = 113,440,939.84/14,464.60
  6. Step 6: Final answer
    x = 7,842.66

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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.