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Finding the Fourth Proportional to 15,813.34, 21,821.54 and 8,739.34

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Solution

The fourth proportional to 15,813.34, 21,821.54 and 8,739.34 is: 12,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.34 : 21,821.54 = 8,739.34 : x
  2. Step 2: Convert to fraction form
    15,813.34/21,821.54 = 8,739.34/x
  3. Step 3: Cross multiply
    15,813.34x = 21,821.54 × 8,739.34
  4. Step 4: Simplify right side
    15,813.34x = 190,705,857.38
  5. Step 5: Solve for x
    x = 190,705,857.38/15,813.34
  6. Step 6: Final answer
    x = 12,059.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.