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Finding the Fourth Proportional to 16,441.48, 24,668.70 and 7,201

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Solution

The fourth proportional to 16,441.48, 24,668.70 and 7,201 is: 10,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.48 : 24,668.70 = 7,201 : x
  2. Step 2: Convert to fraction form
    16,441.48/24,668.70 = 7,201/x
  3. Step 3: Cross multiply
    16,441.48x = 24,668.70 × 7,201
  4. Step 4: Simplify right side
    16,441.48x = 177,639,308.70
  5. Step 5: Solve for x
    x = 177,639,308.70/16,441.48
  6. Step 6: Final answer
    x = 10,804.34

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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.