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Finding the Fourth Proportional to 13,912.72, 19,193.52 and 9,203.56

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Solution

The fourth proportional to 13,912.72, 19,193.52 and 9,203.56 is: 12,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.72 : 19,193.52 = 9,203.56 : x
  2. Step 2: Convert to fraction form
    13,912.72/19,193.52 = 9,203.56/x
  3. Step 3: Cross multiply
    13,912.72x = 19,193.52 × 9,203.56
  4. Step 4: Simplify right side
    13,912.72x = 176,648,712.93
  5. Step 5: Solve for x
    x = 176,648,712.93/13,912.72
  6. Step 6: Final answer
    x = 12,696.92

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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.