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Finding the Fourth Proportional to 18,593, 25,658.52 and 10,209.68

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Solution

The fourth proportional to 18,593, 25,658.52 and 10,209.68 is: 14,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593 : 25,658.52 = 10,209.68 : x
  2. Step 2: Convert to fraction form
    18,593/25,658.52 = 10,209.68/x
  3. Step 3: Cross multiply
    18,593x = 25,658.52 × 10,209.68
  4. Step 4: Simplify right side
    18,593x = 261,965,278.47
  5. Step 5: Solve for x
    x = 261,965,278.47/18,593
  6. Step 6: Final answer
    x = 14,089.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.