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Finding the Fourth Proportional to 43,597.75, 65,397.24 and 12,433

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Solution

The fourth proportional to 43,597.75, 65,397.24 and 12,433 is: 18,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,597.75 : 65,397.24 = 12,433 : x
  2. Step 2: Convert to fraction form
    43,597.75/65,397.24 = 12,433/x
  3. Step 3: Cross multiply
    43,597.75x = 65,397.24 × 12,433
  4. Step 4: Simplify right side
    43,597.75x = 813,083,884.92
  5. Step 5: Solve for x
    x = 813,083,884.92/43,597.75
  6. Step 6: Final answer
    x = 18,649.68

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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.