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Finding the Fourth Proportional to 14,885, 20,541.54 and 8,261

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Solution

The fourth proportional to 14,885, 20,541.54 and 8,261 is: 11,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885 : 20,541.54 = 8,261 : x
  2. Step 2: Convert to fraction form
    14,885/20,541.54 = 8,261/x
  3. Step 3: Cross multiply
    14,885x = 20,541.54 × 8,261
  4. Step 4: Simplify right side
    14,885x = 169,693,661.94
  5. Step 5: Solve for x
    x = 169,693,661.94/14,885
  6. Step 6: Final answer
    x = 11,400.31

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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.