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Finding the Fourth Proportional to 20,657.80, 28,507.85 and 11,226.30

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Solution

The fourth proportional to 20,657.80, 28,507.85 and 11,226.30 is: 15,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.80 : 28,507.85 = 11,226.30 : x
  2. Step 2: Convert to fraction form
    20,657.80/28,507.85 = 11,226.30/x
  3. Step 3: Cross multiply
    20,657.80x = 28,507.85 × 11,226.30
  4. Step 4: Simplify right side
    20,657.80x = 320,037,676.46
  5. Step 5: Solve for x
    x = 320,037,676.46/20,657.80
  6. Step 6: Final answer
    x = 15,492.34

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