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Finding the Fourth Proportional to 23,073.54, 31,843.71 and 14,689.50

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Solution

The fourth proportional to 23,073.54, 31,843.71 and 14,689.50 is: 20,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.54 : 31,843.71 = 14,689.50 : x
  2. Step 2: Convert to fraction form
    23,073.54/31,843.71 = 14,689.50/x
  3. Step 3: Cross multiply
    23,073.54x = 31,843.71 × 14,689.50
  4. Step 4: Simplify right side
    23,073.54x = 467,768,178.05
  5. Step 5: Solve for x
    x = 467,768,178.05/23,073.54
  6. Step 6: Final answer
    x = 20,272.93

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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.