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Finding the Fourth Proportional to 43,774.50, 65,656.26 and 12,186.90

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Solution

The fourth proportional to 43,774.50, 65,656.26 and 12,186.90 is: 18,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774.50 : 65,656.26 = 12,186.90 : x
  2. Step 2: Convert to fraction form
    43,774.50/65,656.26 = 12,186.90/x
  3. Step 3: Cross multiply
    43,774.50x = 65,656.26 × 12,186.90
  4. Step 4: Simplify right side
    43,774.50x = 800,146,274.99
  5. Step 5: Solve for x
    x = 800,146,274.99/43,774.50
  6. Step 6: Final answer
    x = 18,278.82

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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.