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Finding the Fourth Proportional to 27,675.36, 38,207.34 and 18,260.16

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Solution

The fourth proportional to 27,675.36, 38,207.34 and 18,260.16 is: 25,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.36 : 38,207.34 = 18,260.16 : x
  2. Step 2: Convert to fraction form
    27,675.36/38,207.34 = 18,260.16/x
  3. Step 3: Cross multiply
    27,675.36x = 38,207.34 × 18,260.16
  4. Step 4: Simplify right side
    27,675.36x = 697,672,141.57
  5. Step 5: Solve for x
    x = 697,672,141.57/27,675.36
  6. Step 6: Final answer
    x = 25,209.14

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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.