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Finding the Fourth Proportional to 14,464.50, 19,961.01 and 7,840.50

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Solution

The fourth proportional to 14,464.50, 19,961.01 and 7,840.50 is: 10,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.50 : 19,961.01 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    14,464.50/19,961.01 = 7,840.50/x
  3. Step 3: Cross multiply
    14,464.50x = 19,961.01 × 7,840.50
  4. Step 4: Simplify right side
    14,464.50x = 156,504,298.91
  5. Step 5: Solve for x
    x = 156,504,298.91/14,464.50
  6. Step 6: Final answer
    x = 10,819.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.