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Finding the Fourth Proportional to 27,872.08, 38,495.41 and 18,354.51

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Solution

The fourth proportional to 27,872.08, 38,495.41 and 18,354.51 is: 25,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.08 : 38,495.41 = 18,354.51 : x
  2. Step 2: Convert to fraction form
    27,872.08/38,495.41 = 18,354.51/x
  3. Step 3: Cross multiply
    27,872.08x = 38,495.41 × 18,354.51
  4. Step 4: Simplify right side
    27,872.08x = 706,564,341.91
  5. Step 5: Solve for x
    x = 706,564,341.91/27,872.08
  6. Step 6: Final answer
    x = 25,350.26

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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.