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Finding the Fourth Proportional to 16,625, 24,937.50 and 8,417

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Solution

The fourth proportional to 16,625, 24,937.50 and 8,417 is: 12,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,625 : 24,937.50 = 8,417 : x
  2. Step 2: Convert to fraction form
    16,625/24,937.50 = 8,417/x
  3. Step 3: Cross multiply
    16,625x = 24,937.50 × 8,417
  4. Step 4: Simplify right side
    16,625x = 209,898,937.50
  5. Step 5: Solve for x
    x = 209,898,937.50/16,625
  6. Step 6: Final answer
    x = 12,625.50

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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.