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Finding the Fourth Proportional to 23,008.71, 31,753.14 and 12,940.32

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Solution

The fourth proportional to 23,008.71, 31,753.14 and 12,940.32 is: 17,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.71 : 31,753.14 = 12,940.32 : x
  2. Step 2: Convert to fraction form
    23,008.71/31,753.14 = 12,940.32/x
  3. Step 3: Cross multiply
    23,008.71x = 31,753.14 × 12,940.32
  4. Step 4: Simplify right side
    23,008.71x = 410,895,792.60
  5. Step 5: Solve for x
    x = 410,895,792.60/23,008.71
  6. Step 6: Final answer
    x = 17,858.27

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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.