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Finding the Fourth Proportional to 13,940, 19,236.72 and 7,566.32

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Solution

The fourth proportional to 13,940, 19,236.72 and 7,566.32 is: 10,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 19,236.72 = 7,566.32 : x
  2. Step 2: Convert to fraction form
    13,940/19,236.72 = 7,566.32/x
  3. Step 3: Cross multiply
    13,940x = 19,236.72 × 7,566.32
  4. Step 4: Simplify right side
    13,940x = 145,551,179.27
  5. Step 5: Solve for x
    x = 145,551,179.27/13,940
  6. Step 6: Final answer
    x = 10,441.26

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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.