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Finding the Fourth Proportional to 16,357, 24,535.74 and 4,045

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Solution

The fourth proportional to 16,357, 24,535.74 and 4,045 is: 6,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357 : 24,535.74 = 4,045 : x
  2. Step 2: Convert to fraction form
    16,357/24,535.74 = 4,045/x
  3. Step 3: Cross multiply
    16,357x = 24,535.74 × 4,045
  4. Step 4: Simplify right side
    16,357x = 99,247,068.30
  5. Step 5: Solve for x
    x = 99,247,068.30/16,357
  6. Step 6: Final answer
    x = 6,067.56

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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.