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Finding the Fourth Proportional to 15,331.22, 23,004.09 and 6,448.49

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Solution

The fourth proportional to 15,331.22, 23,004.09 and 6,448.49 is: 9,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.22 : 23,004.09 = 6,448.49 : x
  2. Step 2: Convert to fraction form
    15,331.22/23,004.09 = 6,448.49/x
  3. Step 3: Cross multiply
    15,331.22x = 23,004.09 × 6,448.49
  4. Step 4: Simplify right side
    15,331.22x = 148,341,656.09
  5. Step 5: Solve for x
    x = 148,341,656.09/15,331.22
  6. Step 6: Final answer
    x = 9,675.79

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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.