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Finding the Fourth Proportional to 16,895, 25,342.59 and 4,583

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Solution

The fourth proportional to 16,895, 25,342.59 and 4,583 is: 6,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,895 : 25,342.59 = 4,583 : x
  2. Step 2: Convert to fraction form
    16,895/25,342.59 = 4,583/x
  3. Step 3: Cross multiply
    16,895x = 25,342.59 × 4,583
  4. Step 4: Simplify right side
    16,895x = 116,145,089.97
  5. Step 5: Solve for x
    x = 116,145,089.97/16,895
  6. Step 6: Final answer
    x = 6,874.52

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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.