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Finding the Fourth Proportional to 23,027.52, 31,777.68 and 12,957.68

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Solution

The fourth proportional to 23,027.52, 31,777.68 and 12,957.68 is: 17,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.52 : 31,777.68 = 12,957.68 : x
  2. Step 2: Convert to fraction form
    23,027.52/31,777.68 = 12,957.68/x
  3. Step 3: Cross multiply
    23,027.52x = 31,777.68 × 12,957.68
  4. Step 4: Simplify right side
    23,027.52x = 411,765,008.58
  5. Step 5: Solve for x
    x = 411,765,008.58/23,027.52
  6. Step 6: Final answer
    x = 17,881.43

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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.