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Finding the Fourth Proportional to 17,262.30, 25,894.03 and 4,782.45

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Solution

The fourth proportional to 17,262.30, 25,894.03 and 4,782.45 is: 7,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.30 : 25,894.03 = 4,782.45 : x
  2. Step 2: Convert to fraction form
    17,262.30/25,894.03 = 4,782.45/x
  3. Step 3: Cross multiply
    17,262.30x = 25,894.03 × 4,782.45
  4. Step 4: Simplify right side
    17,262.30x = 123,836,903.77
  5. Step 5: Solve for x
    x = 123,836,903.77/17,262.30
  6. Step 6: Final answer
    x = 7,173.84

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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.