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Finding the Fourth Proportional to 17,282.88, 25,885.42 and 12,111.84

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Solution

The fourth proportional to 17,282.88, 25,885.42 and 12,111.84 is: 18,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.88 : 25,885.42 = 12,111.84 : x
  2. Step 2: Convert to fraction form
    17,282.88/25,885.42 = 12,111.84/x
  3. Step 3: Cross multiply
    17,282.88x = 25,885.42 × 12,111.84
  4. Step 4: Simplify right side
    17,282.88x = 313,520,065.37
  5. Step 5: Solve for x
    x = 313,520,065.37/17,282.88
  6. Step 6: Final answer
    x = 18,140.50

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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.