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Finding the Fourth Proportional to 18,554.96, 27,842.01 and 8,695.24

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Solution

The fourth proportional to 18,554.96, 27,842.01 and 8,695.24 is: 13,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,554.96 : 27,842.01 = 8,695.24 : x
  2. Step 2: Convert to fraction form
    18,554.96/27,842.01 = 8,695.24/x
  3. Step 3: Cross multiply
    18,554.96x = 27,842.01 × 8,695.24
  4. Step 4: Simplify right side
    18,554.96x = 242,092,959.03
  5. Step 5: Solve for x
    x = 242,092,959.03/18,554.96
  6. Step 6: Final answer
    x = 13,047.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.