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Finding the Fourth Proportional to 17,420.94, 26,138.43 and 7,033.50

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Solution

The fourth proportional to 17,420.94, 26,138.43 and 7,033.50 is: 10,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420.94 : 26,138.43 = 7,033.50 : x
  2. Step 2: Convert to fraction form
    17,420.94/26,138.43 = 7,033.50/x
  3. Step 3: Cross multiply
    17,420.94x = 26,138.43 × 7,033.50
  4. Step 4: Simplify right side
    17,420.94x = 183,844,647.41
  5. Step 5: Solve for x
    x = 183,844,647.41/17,420.94
  6. Step 6: Final answer
    x = 10,553.08

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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.