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Finding the Fourth Proportional to 17,526.80, 26,277.24 and 8,282

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Solution

The fourth proportional to 17,526.80, 26,277.24 and 8,282 is: 12,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.80 : 26,277.24 = 8,282 : x
  2. Step 2: Convert to fraction form
    17,526.80/26,277.24 = 8,282/x
  3. Step 3: Cross multiply
    17,526.80x = 26,277.24 × 8,282
  4. Step 4: Simplify right side
    17,526.80x = 217,628,101.68
  5. Step 5: Solve for x
    x = 217,628,101.68/17,526.80
  6. Step 6: Final answer
    x = 12,416.88

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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.