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Finding the Fourth Proportional to 18,614.50, 25,688.01 and 10,231

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Solution

The fourth proportional to 18,614.50, 25,688.01 and 10,231 is: 14,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.50 : 25,688.01 = 10,231 : x
  2. Step 2: Convert to fraction form
    18,614.50/25,688.01 = 10,231/x
  3. Step 3: Cross multiply
    18,614.50x = 25,688.01 × 10,231
  4. Step 4: Simplify right side
    18,614.50x = 262,814,030.31
  5. Step 5: Solve for x
    x = 262,814,030.31/18,614.50
  6. Step 6: Final answer
    x = 14,118.78

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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.