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Finding the Fourth Proportional to 31,391.44, 47,091 and 12,928.72

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Solution

The fourth proportional to 31,391.44, 47,091 and 12,928.72 is: 19,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.44 : 47,091 = 12,928.72 : x
  2. Step 2: Convert to fraction form
    31,391.44/47,091 = 12,928.72/x
  3. Step 3: Cross multiply
    31,391.44x = 47,091 × 12,928.72
  4. Step 4: Simplify right side
    31,391.44x = 608,826,353.52
  5. Step 5: Solve for x
    x = 608,826,353.52/31,391.44
  6. Step 6: Final answer
    x = 19,394.66

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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.