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Finding the Fourth Proportional to 23,093.67, 31,870.21 and 14,592.69

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Solution

The fourth proportional to 23,093.67, 31,870.21 and 14,592.69 is: 20,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093.67 : 31,870.21 = 14,592.69 : x
  2. Step 2: Convert to fraction form
    23,093.67/31,870.21 = 14,592.69/x
  3. Step 3: Cross multiply
    23,093.67x = 31,870.21 × 14,592.69
  4. Step 4: Simplify right side
    23,093.67x = 465,072,121.10
  5. Step 5: Solve for x
    x = 465,072,121.10/23,093.67
  6. Step 6: Final answer
    x = 20,138.51

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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.