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Finding the Fourth Proportional to 22,773.85, 31,447.69 and 14,290.68

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Solution

The fourth proportional to 22,773.85, 31,447.69 and 14,290.68 is: 19,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.85 : 31,447.69 = 14,290.68 : x
  2. Step 2: Convert to fraction form
    22,773.85/31,447.69 = 14,290.68/x
  3. Step 3: Cross multiply
    22,773.85x = 31,447.69 × 14,290.68
  4. Step 4: Simplify right side
    22,773.85x = 449,408,860.22
  5. Step 5: Solve for x
    x = 449,408,860.22/22,773.85
  6. Step 6: Final answer
    x = 19,733.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.