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Finding the Fourth Proportional to 18,537.76, 25,582.52 and 10,579.82

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Solution

The fourth proportional to 18,537.76, 25,582.52 and 10,579.82 is: 14,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.76 : 25,582.52 = 10,579.82 : x
  2. Step 2: Convert to fraction form
    18,537.76/25,582.52 = 10,579.82/x
  3. Step 3: Cross multiply
    18,537.76x = 25,582.52 × 10,579.82
  4. Step 4: Simplify right side
    18,537.76x = 270,658,403.85
  5. Step 5: Solve for x
    x = 270,658,403.85/18,537.76
  6. Step 6: Final answer
    x = 14,600.39

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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.