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Finding the Fourth Proportional to 16,228.91, 24,354 and 5,698.65

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Solution

The fourth proportional to 16,228.91, 24,354 and 5,698.65 is: 8,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.91 : 24,354 = 5,698.65 : x
  2. Step 2: Convert to fraction form
    16,228.91/24,354 = 5,698.65/x
  3. Step 3: Cross multiply
    16,228.91x = 24,354 × 5,698.65
  4. Step 4: Simplify right side
    16,228.91x = 138,785,013.43
  5. Step 5: Solve for x
    x = 138,785,013.43/16,228.91
  6. Step 6: Final answer
    x = 8,551.72

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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.