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Finding the Fourth Proportional to 14,660.76, 21,996 and 9,749.73

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Solution

The fourth proportional to 14,660.76, 21,996 and 9,749.73 is: 14,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.76 : 21,996 = 9,749.73 : x
  2. Step 2: Convert to fraction form
    14,660.76/21,996 = 9,749.73/x
  3. Step 3: Cross multiply
    14,660.76x = 21,996 × 9,749.73
  4. Step 4: Simplify right side
    14,660.76x = 214,455,061.08
  5. Step 5: Solve for x
    x = 214,455,061.08/14,660.76
  6. Step 6: Final answer
    x = 14,627.83

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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.