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Finding the Fourth Proportional to 16,512.50, 24,768.84 and 4,200.50

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Solution

The fourth proportional to 16,512.50, 24,768.84 and 4,200.50 is: 6,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.50 : 24,768.84 = 4,200.50 : x
  2. Step 2: Convert to fraction form
    16,512.50/24,768.84 = 4,200.50/x
  3. Step 3: Cross multiply
    16,512.50x = 24,768.84 × 4,200.50
  4. Step 4: Simplify right side
    16,512.50x = 104,041,512.42
  5. Step 5: Solve for x
    x = 104,041,512.42/16,512.50
  6. Step 6: Final answer
    x = 6,300.77

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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.