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Finding the Fourth Proportional to 16,804.96, 25,211.04 and 6,419.68

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Solution

The fourth proportional to 16,804.96, 25,211.04 and 6,419.68 is: 9,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.96 : 25,211.04 = 6,419.68 : x
  2. Step 2: Convert to fraction form
    16,804.96/25,211.04 = 6,419.68/x
  3. Step 3: Cross multiply
    16,804.96x = 25,211.04 × 6,419.68
  4. Step 4: Simplify right side
    16,804.96x = 161,846,809.27
  5. Step 5: Solve for x
    x = 161,846,809.27/16,804.96
  6. Step 6: Final answer
    x = 9,630.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.