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Finding the Fourth Proportional to 15,141.85, 20,895.54 and 8,427.48

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Solution

The fourth proportional to 15,141.85, 20,895.54 and 8,427.48 is: 11,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.85 : 20,895.54 = 8,427.48 : x
  2. Step 2: Convert to fraction form
    15,141.85/20,895.54 = 8,427.48/x
  3. Step 3: Cross multiply
    15,141.85x = 20,895.54 × 8,427.48
  4. Step 4: Simplify right side
    15,141.85x = 176,096,706.26
  5. Step 5: Solve for x
    x = 176,096,706.26/15,141.85
  6. Step 6: Final answer
    x = 11,629.80

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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.