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Finding the Fourth Proportional to 18,650.68, 27,980.88 and 6,964

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Solution

The fourth proportional to 18,650.68, 27,980.88 and 6,964 is: 10,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,650.68 : 27,980.88 = 6,964 : x
  2. Step 2: Convert to fraction form
    18,650.68/27,980.88 = 6,964/x
  3. Step 3: Cross multiply
    18,650.68x = 27,980.88 × 6,964
  4. Step 4: Simplify right side
    18,650.68x = 194,858,848.32
  5. Step 5: Solve for x
    x = 194,858,848.32/18,650.68
  6. Step 6: Final answer
    x = 10,447.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.