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Finding the Fourth Proportional to 14,323.38, 21,493.56 and 7,749.42

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Solution

The fourth proportional to 14,323.38, 21,493.56 and 7,749.42 is: 11,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.38 : 21,493.56 = 7,749.42 : x
  2. Step 2: Convert to fraction form
    14,323.38/21,493.56 = 7,749.42/x
  3. Step 3: Cross multiply
    14,323.38x = 21,493.56 × 7,749.42
  4. Step 4: Simplify right side
    14,323.38x = 166,562,623.74
  5. Step 5: Solve for x
    x = 166,562,623.74/14,323.38
  6. Step 6: Final answer
    x = 11,628.72

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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.