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Finding the Fourth Proportional to 23,028.76, 31,777.42 and 12,956.98

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Solution

The fourth proportional to 23,028.76, 31,777.42 and 12,956.98 is: 17,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.76 : 31,777.42 = 12,956.98 : x
  2. Step 2: Convert to fraction form
    23,028.76/31,777.42 = 12,956.98/x
  3. Step 3: Cross multiply
    23,028.76x = 31,777.42 × 12,956.98
  4. Step 4: Simplify right side
    23,028.76x = 411,739,395.39
  5. Step 5: Solve for x
    x = 411,739,395.39/23,028.76
  6. Step 6: Final answer
    x = 17,879.36

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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.