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Finding the Fourth Proportional to 20,519.76, 30,755.34 and 9,417.10

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Solution

The fourth proportional to 20,519.76, 30,755.34 and 9,417.10 is: 14,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.76 : 30,755.34 = 9,417.10 : x
  2. Step 2: Convert to fraction form
    20,519.76/30,755.34 = 9,417.10/x
  3. Step 3: Cross multiply
    20,519.76x = 30,755.34 × 9,417.10
  4. Step 4: Simplify right side
    20,519.76x = 289,626,112.31
  5. Step 5: Solve for x
    x = 289,626,112.31/20,519.76
  6. Step 6: Final answer
    x = 14,114.50

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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.