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Finding the Fourth Proportional to 12,333.38, 17,015.90 and 7,024.43

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Solution

The fourth proportional to 12,333.38, 17,015.90 and 7,024.43 is: 9,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.38 : 17,015.90 = 7,024.43 : x
  2. Step 2: Convert to fraction form
    12,333.38/17,015.90 = 7,024.43/x
  3. Step 3: Cross multiply
    12,333.38x = 17,015.90 × 7,024.43
  4. Step 4: Simplify right side
    12,333.38x = 119,526,963.31
  5. Step 5: Solve for x
    x = 119,526,963.31/12,333.38
  6. Step 6: Final answer
    x = 9,691.34

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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.