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Finding the Fourth Proportional to 27,551.25, 38,020.86 and 14,976

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Solution

The fourth proportional to 27,551.25, 38,020.86 and 14,976 is: 20,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.25 : 38,020.86 = 14,976 : x
  2. Step 2: Convert to fraction form
    27,551.25/38,020.86 = 14,976/x
  3. Step 3: Cross multiply
    27,551.25x = 38,020.86 × 14,976
  4. Step 4: Simplify right side
    27,551.25x = 569,400,399.36
  5. Step 5: Solve for x
    x = 569,400,399.36/27,551.25
  6. Step 6: Final answer
    x = 20,666.95

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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.