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Finding the Fourth Proportional to 24,887.46, 34,344.69 and 13,709.46

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Solution

The fourth proportional to 24,887.46, 34,344.69 and 13,709.46 is: 18,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887.46 : 34,344.69 = 13,709.46 : x
  2. Step 2: Convert to fraction form
    24,887.46/34,344.69 = 13,709.46/x
  3. Step 3: Cross multiply
    24,887.46x = 34,344.69 × 13,709.46
  4. Step 4: Simplify right side
    24,887.46x = 470,847,153.77
  5. Step 5: Solve for x
    x = 470,847,153.77/24,887.46
  6. Step 6: Final answer
    x = 18,919.05

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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.