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Finding the Fourth Proportional to 16,804.33, 25,189.80 and 8,029

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Solution

The fourth proportional to 16,804.33, 25,189.80 and 8,029 is: 12,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.33 : 25,189.80 = 8,029 : x
  2. Step 2: Convert to fraction form
    16,804.33/25,189.80 = 8,029/x
  3. Step 3: Cross multiply
    16,804.33x = 25,189.80 × 8,029
  4. Step 4: Simplify right side
    16,804.33x = 202,248,904.20
  5. Step 5: Solve for x
    x = 202,248,904.20/16,804.33
  6. Step 6: Final answer
    x = 12,035.52

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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.