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Finding the Fourth Proportional to 17,782.34, 26,674.88 and 5,301.41

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Solution

The fourth proportional to 17,782.34, 26,674.88 and 5,301.41 is: 7,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.34 : 26,674.88 = 5,301.41 : x
  2. Step 2: Convert to fraction form
    17,782.34/26,674.88 = 5,301.41/x
  3. Step 3: Cross multiply
    17,782.34x = 26,674.88 × 5,301.41
  4. Step 4: Simplify right side
    17,782.34x = 141,414,315.70
  5. Step 5: Solve for x
    x = 141,414,315.70/17,782.34
  6. Step 6: Final answer
    x = 7,952.52

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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.