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Finding the Fourth Proportional to 19,286.62, 28,882.74 and 17,416.74

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Solution

The fourth proportional to 19,286.62, 28,882.74 and 17,416.74 is: 26,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.62 : 28,882.74 = 17,416.74 : x
  2. Step 2: Convert to fraction form
    19,286.62/28,882.74 = 17,416.74/x
  3. Step 3: Cross multiply
    19,286.62x = 28,882.74 × 17,416.74
  4. Step 4: Simplify right side
    19,286.62x = 503,043,173.07
  5. Step 5: Solve for x
    x = 503,043,173.07/19,286.62
  6. Step 6: Final answer
    x = 26,082.50

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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.