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Finding the Fourth Proportional to 17,135.52, 25,703.28 and 6,747

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Solution

The fourth proportional to 17,135.52, 25,703.28 and 6,747 is: 10,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.52 : 25,703.28 = 6,747 : x
  2. Step 2: Convert to fraction form
    17,135.52/25,703.28 = 6,747/x
  3. Step 3: Cross multiply
    17,135.52x = 25,703.28 × 6,747
  4. Step 4: Simplify right side
    17,135.52x = 173,420,030.16
  5. Step 5: Solve for x
    x = 173,420,030.16/17,135.52
  6. Step 6: Final answer
    x = 10,120.50

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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.