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Finding the Fourth Proportional to 16,559, 24,838.50 and 4,247

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Solution

The fourth proportional to 16,559, 24,838.50 and 4,247 is: 6,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559 : 24,838.50 = 4,247 : x
  2. Step 2: Convert to fraction form
    16,559/24,838.50 = 4,247/x
  3. Step 3: Cross multiply
    16,559x = 24,838.50 × 4,247
  4. Step 4: Simplify right side
    16,559x = 105,489,109.50
  5. Step 5: Solve for x
    x = 105,489,109.50/16,559
  6. Step 6: Final answer
    x = 6,370.50

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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.