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Finding the Fourth Proportional to 25,184, 37,760 and 12,039.68

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Solution

The fourth proportional to 25,184, 37,760 and 12,039.68 is: 18,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184 : 37,760 = 12,039.68 : x
  2. Step 2: Convert to fraction form
    25,184/37,760 = 12,039.68/x
  3. Step 3: Cross multiply
    25,184x = 37,760 × 12,039.68
  4. Step 4: Simplify right side
    25,184x = 454,618,316.80
  5. Step 5: Solve for x
    x = 454,618,316.80/25,184
  6. Step 6: Final answer
    x = 18,051.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.