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Finding the Fourth Proportional to 12,964, 17,893.56 and 7,378.24

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Solution

The fourth proportional to 12,964, 17,893.56 and 7,378.24 is: 10,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 17,893.56 = 7,378.24 : x
  2. Step 2: Convert to fraction form
    12,964/17,893.56 = 7,378.24/x
  3. Step 3: Cross multiply
    12,964x = 17,893.56 × 7,378.24
  4. Step 4: Simplify right side
    12,964x = 132,022,980.13
  5. Step 5: Solve for x
    x = 132,022,980.13/12,964
  6. Step 6: Final answer
    x = 10,183.82

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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.