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Finding the Fourth Proportional to 20,853.55, 31,274.85 and 7,709.68

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Solution

The fourth proportional to 20,853.55, 31,274.85 and 7,709.68 is: 11,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.55 : 31,274.85 = 7,709.68 : x
  2. Step 2: Convert to fraction form
    20,853.55/31,274.85 = 7,709.68/x
  3. Step 3: Cross multiply
    20,853.55x = 31,274.85 × 7,709.68
  4. Step 4: Simplify right side
    20,853.55x = 241,118,929.17
  5. Step 5: Solve for x
    x = 241,118,929.17/20,853.55
  6. Step 6: Final answer
    x = 11,562.49

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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.