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Finding the Fourth Proportional to 16,320.99, 24,483 and 5,789.98

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Solution

The fourth proportional to 16,320.99, 24,483 and 5,789.98 is: 8,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.99 : 24,483 = 5,789.98 : x
  2. Step 2: Convert to fraction form
    16,320.99/24,483 = 5,789.98/x
  3. Step 3: Cross multiply
    16,320.99x = 24,483 × 5,789.98
  4. Step 4: Simplify right side
    16,320.99x = 141,755,957.93
  5. Step 5: Solve for x
    x = 141,755,957.93/16,320.99
  6. Step 6: Final answer
    x = 8,685.50

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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.