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Finding the Fourth Proportional to 16,417, 24,625.50 and 4,105

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Solution

The fourth proportional to 16,417, 24,625.50 and 4,105 is: 6,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417 : 24,625.50 = 4,105 : x
  2. Step 2: Convert to fraction form
    16,417/24,625.50 = 4,105/x
  3. Step 3: Cross multiply
    16,417x = 24,625.50 × 4,105
  4. Step 4: Simplify right side
    16,417x = 101,087,677.50
  5. Step 5: Solve for x
    x = 101,087,677.50/16,417
  6. Step 6: Final answer
    x = 6,157.50

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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.