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Finding the Fourth Proportional to 25,494, 35,183.52 and 14,316

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Solution

The fourth proportional to 25,494, 35,183.52 and 14,316 is: 19,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 35,183.52 = 14,316 : x
  2. Step 2: Convert to fraction form
    25,494/35,183.52 = 14,316/x
  3. Step 3: Cross multiply
    25,494x = 35,183.52 × 14,316
  4. Step 4: Simplify right side
    25,494x = 503,687,272.32
  5. Step 5: Solve for x
    x = 503,687,272.32/25,494
  6. Step 6: Final answer
    x = 19,757.09

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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.