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Finding the Fourth Proportional to 14,464.25, 19,960.67 and 7,840.25

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Solution

The fourth proportional to 14,464.25, 19,960.67 and 7,840.25 is: 10,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.25 : 19,960.67 = 7,840.25 : x
  2. Step 2: Convert to fraction form
    14,464.25/19,960.67 = 7,840.25/x
  3. Step 3: Cross multiply
    14,464.25x = 19,960.67 × 7,840.25
  4. Step 4: Simplify right side
    14,464.25x = 156,496,642.97
  5. Step 5: Solve for x
    x = 156,496,642.97/14,464.25
  6. Step 6: Final answer
    x = 10,819.55

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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.