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Finding the Fourth Proportional to 20,886.83, 31,322.49 and 8,402.59

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Solution

The fourth proportional to 20,886.83, 31,322.49 and 8,402.59 is: 12,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.83 : 31,322.49 = 8,402.59 : x
  2. Step 2: Convert to fraction form
    20,886.83/31,322.49 = 8,402.59/x
  3. Step 3: Cross multiply
    20,886.83x = 31,322.49 × 8,402.59
  4. Step 4: Simplify right side
    20,886.83x = 263,190,041.25
  5. Step 5: Solve for x
    x = 263,190,041.25/20,886.83
  6. Step 6: Final answer
    x = 12,600.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.