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Finding the Fourth Proportional to 21,349.46, 32,029.38 and 9,659.54

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Solution

The fourth proportional to 21,349.46, 32,029.38 and 9,659.54 is: 14,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.46 : 32,029.38 = 9,659.54 : x
  2. Step 2: Convert to fraction form
    21,349.46/32,029.38 = 9,659.54/x
  3. Step 3: Cross multiply
    21,349.46x = 32,029.38 × 9,659.54
  4. Step 4: Simplify right side
    21,349.46x = 309,388,917.14
  5. Step 5: Solve for x
    x = 309,388,917.14/21,349.46
  6. Step 6: Final answer
    x = 14,491.65

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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.