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Finding the Fourth Proportional to 16,817.64, 25,238.19 and 6,957

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Solution

The fourth proportional to 16,817.64, 25,238.19 and 6,957 is: 10,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.64 : 25,238.19 = 6,957 : x
  2. Step 2: Convert to fraction form
    16,817.64/25,238.19 = 6,957/x
  3. Step 3: Cross multiply
    16,817.64x = 25,238.19 × 6,957
  4. Step 4: Simplify right side
    16,817.64x = 175,582,087.83
  5. Step 5: Solve for x
    x = 175,582,087.83/16,817.64
  6. Step 6: Final answer
    x = 10,440.35

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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.