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Finding the Fourth Proportional to 19,507.25, 26,893.20 and 12,333.57

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Solution

The fourth proportional to 19,507.25, 26,893.20 and 12,333.57 is: 17,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.25 : 26,893.20 = 12,333.57 : x
  2. Step 2: Convert to fraction form
    19,507.25/26,893.20 = 12,333.57/x
  3. Step 3: Cross multiply
    19,507.25x = 26,893.20 × 12,333.57
  4. Step 4: Simplify right side
    19,507.25x = 331,689,164.72
  5. Step 5: Solve for x
    x = 331,689,164.72/19,507.25
  6. Step 6: Final answer
    x = 17,003.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.