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Finding the Fourth Proportional to 25,409, 38,136.90 and 12,937.94

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Solution

The fourth proportional to 25,409, 38,136.90 and 12,937.94 is: 19,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409 : 38,136.90 = 12,937.94 : x
  2. Step 2: Convert to fraction form
    25,409/38,136.90 = 12,937.94/x
  3. Step 3: Cross multiply
    25,409x = 38,136.90 × 12,937.94
  4. Step 4: Simplify right side
    25,409x = 493,412,923.99
  5. Step 5: Solve for x
    x = 493,412,923.99/25,409
  6. Step 6: Final answer
    x = 19,418.82

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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.