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Finding the Fourth Proportional to 12,928.52, 19,362.90 and 7,722.92

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Solution

The fourth proportional to 12,928.52, 19,362.90 and 7,722.92 is: 11,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.52 : 19,362.90 = 7,722.92 : x
  2. Step 2: Convert to fraction form
    12,928.52/19,362.90 = 7,722.92/x
  3. Step 3: Cross multiply
    12,928.52x = 19,362.90 × 7,722.92
  4. Step 4: Simplify right side
    12,928.52x = 149,538,205.04
  5. Step 5: Solve for x
    x = 149,538,205.04/12,928.52
  6. Step 6: Final answer
    x = 11,566.53

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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.