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Finding the Fourth Proportional to 16,533, 24,793.38 and 5,436.45

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Solution

The fourth proportional to 16,533, 24,793.38 and 5,436.45 is: 8,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 24,793.38 = 5,436.45 : x
  2. Step 2: Convert to fraction form
    16,533/24,793.38 = 5,436.45/x
  3. Step 3: Cross multiply
    16,533x = 24,793.38 × 5,436.45
  4. Step 4: Simplify right side
    16,533x = 134,787,970.70
  5. Step 5: Solve for x
    x = 134,787,970.70/16,533
  6. Step 6: Final answer
    x = 8,152.66

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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.