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Finding the Fourth Proportional to 23,059.16, 31,823.58 and 12,989.58

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Solution

The fourth proportional to 23,059.16, 31,823.58 and 12,989.58 is: 17,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.16 : 31,823.58 = 12,989.58 : x
  2. Step 2: Convert to fraction form
    23,059.16/31,823.58 = 12,989.58/x
  3. Step 3: Cross multiply
    23,059.16x = 31,823.58 × 12,989.58
  4. Step 4: Simplify right side
    23,059.16x = 413,375,046.68
  5. Step 5: Solve for x
    x = 413,375,046.68/23,059.16
  6. Step 6: Final answer
    x = 17,926.71

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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.