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Finding the Fourth Proportional to 24,546.80, 36,771.60 and 14,656.70

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Solution

The fourth proportional to 24,546.80, 36,771.60 and 14,656.70 is: 21,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.80 : 36,771.60 = 14,656.70 : x
  2. Step 2: Convert to fraction form
    24,546.80/36,771.60 = 14,656.70/x
  3. Step 3: Cross multiply
    24,546.80x = 36,771.60 × 14,656.70
  4. Step 4: Simplify right side
    24,546.80x = 538,950,309.72
  5. Step 5: Solve for x
    x = 538,950,309.72/24,546.80
  6. Step 6: Final answer
    x = 21,956.03

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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.