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Finding the Fourth Proportional to 16,475.84, 24,717.84 and 4,789.20

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Solution

The fourth proportional to 16,475.84, 24,717.84 and 4,789.20 is: 7,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.84 : 24,717.84 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    16,475.84/24,717.84 = 4,789.20/x
  3. Step 3: Cross multiply
    16,475.84x = 24,717.84 × 4,789.20
  4. Step 4: Simplify right side
    16,475.84x = 118,378,679.33
  5. Step 5: Solve for x
    x = 118,378,679.33/16,475.84
  6. Step 6: Final answer
    x = 7,184.99

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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.