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Finding the Fourth Proportional to 16,685, 25,027.50 and 4,373

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Solution

The fourth proportional to 16,685, 25,027.50 and 4,373 is: 6,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685 : 25,027.50 = 4,373 : x
  2. Step 2: Convert to fraction form
    16,685/25,027.50 = 4,373/x
  3. Step 3: Cross multiply
    16,685x = 25,027.50 × 4,373
  4. Step 4: Simplify right side
    16,685x = 109,445,257.50
  5. Step 5: Solve for x
    x = 109,445,257.50/16,685
  6. Step 6: Final answer
    x = 6,559.50

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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.