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Finding the Fourth Proportional to 17,395.80, 26,098.02 and 8,151

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Solution

The fourth proportional to 17,395.80, 26,098.02 and 8,151 is: 12,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,395.80 : 26,098.02 = 8,151 : x
  2. Step 2: Convert to fraction form
    17,395.80/26,098.02 = 8,151/x
  3. Step 3: Cross multiply
    17,395.80x = 26,098.02 × 8,151
  4. Step 4: Simplify right side
    17,395.80x = 212,724,961.02
  5. Step 5: Solve for x
    x = 212,724,961.02/17,395.80
  6. Step 6: Final answer
    x = 12,228.52

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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.