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Finding the Fourth Proportional to 18,711.89, 25,823.03 and 10,214.51

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Solution

The fourth proportional to 18,711.89, 25,823.03 and 10,214.51 is: 14,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711.89 : 25,823.03 = 10,214.51 : x
  2. Step 2: Convert to fraction form
    18,711.89/25,823.03 = 10,214.51/x
  3. Step 3: Cross multiply
    18,711.89x = 25,823.03 × 10,214.51
  4. Step 4: Simplify right side
    18,711.89x = 263,769,598.17
  5. Step 5: Solve for x
    x = 263,769,598.17/18,711.89
  6. Step 6: Final answer
    x = 14,096.37

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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.