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Finding the Fourth Proportional to 16,917.67, 25,378 and 4,437.65

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Solution

The fourth proportional to 16,917.67, 25,378 and 4,437.65 is: 6,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917.67 : 25,378 = 4,437.65 : x
  2. Step 2: Convert to fraction form
    16,917.67/25,378 = 4,437.65/x
  3. Step 3: Cross multiply
    16,917.67x = 25,378 × 4,437.65
  4. Step 4: Simplify right side
    16,917.67x = 112,618,681.70
  5. Step 5: Solve for x
    x = 112,618,681.70/16,917.67
  6. Step 6: Final answer
    x = 6,656.87

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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.