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Finding the Fourth Proportional to 23,825.69, 32,865.71 and 14,857.63

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Solution

The fourth proportional to 23,825.69, 32,865.71 and 14,857.63 is: 20,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.69 : 32,865.71 = 14,857.63 : x
  2. Step 2: Convert to fraction form
    23,825.69/32,865.71 = 14,857.63/x
  3. Step 3: Cross multiply
    23,825.69x = 32,865.71 × 14,857.63
  4. Step 4: Simplify right side
    23,825.69x = 488,306,513.85
  5. Step 5: Solve for x
    x = 488,306,513.85/23,825.69
  6. Step 6: Final answer
    x = 20,494.96

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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.