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Finding the Fourth Proportional to 12,448.82, 17,188.05 and 7,735.22

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Solution

The fourth proportional to 12,448.82, 17,188.05 and 7,735.22 is: 10,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.82 : 17,188.05 = 7,735.22 : x
  2. Step 2: Convert to fraction form
    12,448.82/17,188.05 = 7,735.22/x
  3. Step 3: Cross multiply
    12,448.82x = 17,188.05 × 7,735.22
  4. Step 4: Simplify right side
    12,448.82x = 132,953,348.12
  5. Step 5: Solve for x
    x = 132,953,348.12/12,448.82
  6. Step 6: Final answer
    x = 10,680.00

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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.