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Finding the Fourth Proportional to 17,586.84, 26,390 and 7,205.88

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Solution

The fourth proportional to 17,586.84, 26,390 and 7,205.88 is: 10,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.84 : 26,390 = 7,205.88 : x
  2. Step 2: Convert to fraction form
    17,586.84/26,390 = 7,205.88/x
  3. Step 3: Cross multiply
    17,586.84x = 26,390 × 7,205.88
  4. Step 4: Simplify right side
    17,586.84x = 190,163,173.20
  5. Step 5: Solve for x
    x = 190,163,173.20/17,586.84
  6. Step 6: Final answer
    x = 10,812.81

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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.