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Finding the Fourth Proportional to 12,912.64, 19,352 and 5,971.84

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Solution

The fourth proportional to 12,912.64, 19,352 and 5,971.84 is: 8,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.64 : 19,352 = 5,971.84 : x
  2. Step 2: Convert to fraction form
    12,912.64/19,352 = 5,971.84/x
  3. Step 3: Cross multiply
    12,912.64x = 19,352 × 5,971.84
  4. Step 4: Simplify right side
    12,912.64x = 115,567,047.68
  5. Step 5: Solve for x
    x = 115,567,047.68/12,912.64
  6. Step 6: Final answer
    x = 8,949.92

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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.