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Finding the Fourth Proportional to 12,127.48, 16,735.75 and 6,822.29

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Solution

The fourth proportional to 12,127.48, 16,735.75 and 6,822.29 is: 9,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.48 : 16,735.75 = 6,822.29 : x
  2. Step 2: Convert to fraction form
    12,127.48/16,735.75 = 6,822.29/x
  3. Step 3: Cross multiply
    12,127.48x = 16,735.75 × 6,822.29
  4. Step 4: Simplify right side
    12,127.48x = 114,176,164.65
  5. Step 5: Solve for x
    x = 114,176,164.65/12,127.48
  6. Step 6: Final answer
    x = 9,414.67

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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.