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Finding the Fourth Proportional to 16,839, 25,258.50 and 4,527

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Solution

The fourth proportional to 16,839, 25,258.50 and 4,527 is: 6,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 25,258.50 = 4,527 : x
  2. Step 2: Convert to fraction form
    16,839/25,258.50 = 4,527/x
  3. Step 3: Cross multiply
    16,839x = 25,258.50 × 4,527
  4. Step 4: Simplify right side
    16,839x = 114,345,229.50
  5. Step 5: Solve for x
    x = 114,345,229.50/16,839
  6. Step 6: Final answer
    x = 6,790.50

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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.