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Finding the Fourth Proportional to 23,057.51, 31,819.05 and 12,986.96

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Solution

The fourth proportional to 23,057.51, 31,819.05 and 12,986.96 is: 17,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.51 : 31,819.05 = 12,986.96 : x
  2. Step 2: Convert to fraction form
    23,057.51/31,819.05 = 12,986.96/x
  3. Step 3: Cross multiply
    23,057.51x = 31,819.05 × 12,986.96
  4. Step 4: Simplify right side
    23,057.51x = 413,232,570.49
  5. Step 5: Solve for x
    x = 413,232,570.49/23,057.51
  6. Step 6: Final answer
    x = 17,921.82

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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.