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Finding the Fourth Proportional to 16,524, 24,786 and 4,837.32

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Solution

The fourth proportional to 16,524, 24,786 and 4,837.32 is: 7,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 24,786 = 4,837.32 : x
  2. Step 2: Convert to fraction form
    16,524/24,786 = 4,837.32/x
  3. Step 3: Cross multiply
    16,524x = 24,786 × 4,837.32
  4. Step 4: Simplify right side
    16,524x = 119,897,813.52
  5. Step 5: Solve for x
    x = 119,897,813.52/16,524
  6. Step 6: Final answer
    x = 7,255.98

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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.