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Finding the Fourth Proportional to 23,114.76, 31,898.32 and 12,504.36

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Solution

The fourth proportional to 23,114.76, 31,898.32 and 12,504.36 is: 17,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.76 : 31,898.32 = 12,504.36 : x
  2. Step 2: Convert to fraction form
    23,114.76/31,898.32 = 12,504.36/x
  3. Step 3: Cross multiply
    23,114.76x = 31,898.32 × 12,504.36
  4. Step 4: Simplify right side
    23,114.76x = 398,868,076.68
  5. Step 5: Solve for x
    x = 398,868,076.68/23,114.76
  6. Step 6: Final answer
    x = 17,255.99

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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.