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Finding the Fourth Proportional to 19,122, 28,679.76 and 5,082.24

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Solution

The fourth proportional to 19,122, 28,679.76 and 5,082.24 is: 7,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122 : 28,679.76 = 5,082.24 : x
  2. Step 2: Convert to fraction form
    19,122/28,679.76 = 5,082.24/x
  3. Step 3: Cross multiply
    19,122x = 28,679.76 × 5,082.24
  4. Step 4: Simplify right side
    19,122x = 145,757,423.46
  5. Step 5: Solve for x
    x = 145,757,423.46/19,122
  6. Step 6: Final answer
    x = 7,622.50

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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.