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Finding the Fourth Proportional to 18,712.25, 25,823.43 and 10,214.91

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Solution

The fourth proportional to 18,712.25, 25,823.43 and 10,214.91 is: 14,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.25 : 25,823.43 = 10,214.91 : x
  2. Step 2: Convert to fraction form
    18,712.25/25,823.43 = 10,214.91/x
  3. Step 3: Cross multiply
    18,712.25x = 25,823.43 × 10,214.91
  4. Step 4: Simplify right side
    18,712.25x = 263,784,013.34
  5. Step 5: Solve for x
    x = 263,784,013.34/18,712.25
  6. Step 6: Final answer
    x = 14,096.87

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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.