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Finding the Fourth Proportional to 43,345.64, 65,020.70 and 13,765.79

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Solution

The fourth proportional to 43,345.64, 65,020.70 and 13,765.79 is: 20,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,345.64 : 65,020.70 = 13,765.79 : x
  2. Step 2: Convert to fraction form
    43,345.64/65,020.70 = 13,765.79/x
  3. Step 3: Cross multiply
    43,345.64x = 65,020.70 × 13,765.79
  4. Step 4: Simplify right side
    43,345.64x = 895,061,011.16
  5. Step 5: Solve for x
    x = 895,061,011.16/43,345.64
  6. Step 6: Final answer
    x = 20,649.39

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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.