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Finding the Fourth Proportional to 15,141.48, 20,895.94 and 8,427.54

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Solution

The fourth proportional to 15,141.48, 20,895.94 and 8,427.54 is: 11,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.48 : 20,895.94 = 8,427.54 : x
  2. Step 2: Convert to fraction form
    15,141.48/20,895.94 = 8,427.54/x
  3. Step 3: Cross multiply
    15,141.48x = 20,895.94 × 8,427.54
  4. Step 4: Simplify right side
    15,141.48x = 176,101,333.32
  5. Step 5: Solve for x
    x = 176,101,333.32/15,141.48
  6. Step 6: Final answer
    x = 11,630.39

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Why These Related Problems?

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