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Finding the Fourth Proportional to 20,364.57, 28,102.34 and 11,412.15

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Solution

The fourth proportional to 20,364.57, 28,102.34 and 11,412.15 is: 15,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.57 : 28,102.34 = 11,412.15 : x
  2. Step 2: Convert to fraction form
    20,364.57/28,102.34 = 11,412.15/x
  3. Step 3: Cross multiply
    20,364.57x = 28,102.34 × 11,412.15
  4. Step 4: Simplify right side
    20,364.57x = 320,708,062.37
  5. Step 5: Solve for x
    x = 320,708,062.37/20,364.57
  6. Step 6: Final answer
    x = 15,748.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.