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Finding the Fourth Proportional to 43,434.36, 65,154.06 and 12,267

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Solution

The fourth proportional to 43,434.36, 65,154.06 and 12,267 is: 18,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434.36 : 65,154.06 = 12,267 : x
  2. Step 2: Convert to fraction form
    43,434.36/65,154.06 = 12,267/x
  3. Step 3: Cross multiply
    43,434.36x = 65,154.06 × 12,267
  4. Step 4: Simplify right side
    43,434.36x = 799,244,854.02
  5. Step 5: Solve for x
    x = 799,244,854.02/43,434.36
  6. Step 6: Final answer
    x = 18,401.21

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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.