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Finding the Fourth Proportional to 23,506.73, 32,441.36 and 12,898.41

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Solution

The fourth proportional to 23,506.73, 32,441.36 and 12,898.41 is: 17,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.73 : 32,441.36 = 12,898.41 : x
  2. Step 2: Convert to fraction form
    23,506.73/32,441.36 = 12,898.41/x
  3. Step 3: Cross multiply
    23,506.73x = 32,441.36 × 12,898.41
  4. Step 4: Simplify right side
    23,506.73x = 418,442,122.37
  5. Step 5: Solve for x
    x = 418,442,122.37/23,506.73
  6. Step 6: Final answer
    x = 17,800.95

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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.