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Finding the Fourth Proportional to 15,813.14, 21,821.25 and 8,739.09

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Solution

The fourth proportional to 15,813.14, 21,821.25 and 8,739.09 is: 12,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.14 : 21,821.25 = 8,739.09 : x
  2. Step 2: Convert to fraction form
    15,813.14/21,821.25 = 8,739.09/x
  3. Step 3: Cross multiply
    15,813.14x = 21,821.25 × 8,739.09
  4. Step 4: Simplify right side
    15,813.14x = 190,697,867.66
  5. Step 5: Solve for x
    x = 190,697,867.66/15,813.14
  6. Step 6: Final answer
    x = 12,059.46

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