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Finding the Fourth Proportional to 25,329, 37,998.36 and 11,478

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Solution

The fourth proportional to 25,329, 37,998.36 and 11,478 is: 17,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,329 : 37,998.36 = 11,478 : x
  2. Step 2: Convert to fraction form
    25,329/37,998.36 = 11,478/x
  3. Step 3: Cross multiply
    25,329x = 37,998.36 × 11,478
  4. Step 4: Simplify right side
    25,329x = 436,145,176.08
  5. Step 5: Solve for x
    x = 436,145,176.08/25,329
  6. Step 6: Final answer
    x = 17,219.20

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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.