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Finding the Fourth Proportional to 16,874, 25,312.26 and 6,485.84

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Solution

The fourth proportional to 16,874, 25,312.26 and 6,485.84 is: 9,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874 : 25,312.26 = 6,485.84 : x
  2. Step 2: Convert to fraction form
    16,874/25,312.26 = 6,485.84/x
  3. Step 3: Cross multiply
    16,874x = 25,312.26 × 6,485.84
  4. Step 4: Simplify right side
    16,874x = 164,171,268.40
  5. Step 5: Solve for x
    x = 164,171,268.40/16,874
  6. Step 6: Final answer
    x = 9,729.24

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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.