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Finding the Fourth Proportional to 23,284.27, 34,911.33 and 9,965.95

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Solution

The fourth proportional to 23,284.27, 34,911.33 and 9,965.95 is: 14,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.27 : 34,911.33 = 9,965.95 : x
  2. Step 2: Convert to fraction form
    23,284.27/34,911.33 = 9,965.95/x
  3. Step 3: Cross multiply
    23,284.27x = 34,911.33 × 9,965.95
  4. Step 4: Simplify right side
    23,284.27x = 347,924,569.21
  5. Step 5: Solve for x
    x = 347,924,569.21/23,284.27
  6. Step 6: Final answer
    x = 14,942.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.