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Finding the Fourth Proportional to 43,486.14, 65,229.22 and 12,321.40

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Solution

The fourth proportional to 43,486.14, 65,229.22 and 12,321.40 is: 18,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,486.14 : 65,229.22 = 12,321.40 : x
  2. Step 2: Convert to fraction form
    43,486.14/65,229.22 = 12,321.40/x
  3. Step 3: Cross multiply
    43,486.14x = 65,229.22 × 12,321.40
  4. Step 4: Simplify right side
    43,486.14x = 803,715,311.31
  5. Step 5: Solve for x
    x = 803,715,311.31/43,486.14
  6. Step 6: Final answer
    x = 18,482.10

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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.