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Finding the Fourth Proportional to 18,205.84, 25,128.36 and 11,578

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Solution

The fourth proportional to 18,205.84, 25,128.36 and 11,578 is: 15,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.84 : 25,128.36 = 11,578 : x
  2. Step 2: Convert to fraction form
    18,205.84/25,128.36 = 11,578/x
  3. Step 3: Cross multiply
    18,205.84x = 25,128.36 × 11,578
  4. Step 4: Simplify right side
    18,205.84x = 290,936,152.08
  5. Step 5: Solve for x
    x = 290,936,152.08/18,205.84
  6. Step 6: Final answer
    x = 15,980.38

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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.