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Finding the Fourth Proportional to 12,679.62, 19,023.93 and 5,658.99

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Solution

The fourth proportional to 12,679.62, 19,023.93 and 5,658.99 is: 8,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.62 : 19,023.93 = 5,658.99 : x
  2. Step 2: Convert to fraction form
    12,679.62/19,023.93 = 5,658.99/x
  3. Step 3: Cross multiply
    12,679.62x = 19,023.93 × 5,658.99
  4. Step 4: Simplify right side
    12,679.62x = 107,656,229.63
  5. Step 5: Solve for x
    x = 107,656,229.63/12,679.62
  6. Step 6: Final answer
    x = 8,490.49

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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.