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Finding the Fourth Proportional to 14,464.56, 19,960.98 and 7,840.56

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Solution

The fourth proportional to 14,464.56, 19,960.98 and 7,840.56 is: 10,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.56 : 19,960.98 = 7,840.56 : x
  2. Step 2: Convert to fraction form
    14,464.56/19,960.98 = 7,840.56/x
  3. Step 3: Cross multiply
    14,464.56x = 19,960.98 × 7,840.56
  4. Step 4: Simplify right side
    14,464.56x = 156,505,261.35
  5. Step 5: Solve for x
    x = 156,505,261.35/14,464.56
  6. Step 6: Final answer
    x = 10,819.91

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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.