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Finding the Fourth Proportional to 23,847.89, 32,911.62 and 13,776.76

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Solution

The fourth proportional to 23,847.89, 32,911.62 and 13,776.76 is: 19,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.89 : 32,911.62 = 13,776.76 : x
  2. Step 2: Convert to fraction form
    23,847.89/32,911.62 = 13,776.76/x
  3. Step 3: Cross multiply
    23,847.89x = 32,911.62 × 13,776.76
  4. Step 4: Simplify right side
    23,847.89x = 453,415,325.39
  5. Step 5: Solve for x
    x = 453,415,325.39/23,847.89
  6. Step 6: Final answer
    x = 19,012.81

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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.