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Finding the Fourth Proportional to 18,582.52, 25,643.84 and 10,198.84

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Solution

The fourth proportional to 18,582.52, 25,643.84 and 10,198.84 is: 14,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.52 : 25,643.84 = 10,198.84 : x
  2. Step 2: Convert to fraction form
    18,582.52/25,643.84 = 10,198.84/x
  3. Step 3: Cross multiply
    18,582.52x = 25,643.84 × 10,198.84
  4. Step 4: Simplify right side
    18,582.52x = 261,537,421.15
  5. Step 5: Solve for x
    x = 261,537,421.15/18,582.52
  6. Step 6: Final answer
    x = 14,074.38

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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.