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Finding the Fourth Proportional to 18,406.28, 25,400.50 and 10,022.76

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Solution

The fourth proportional to 18,406.28, 25,400.50 and 10,022.76 is: 13,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.28 : 25,400.50 = 10,022.76 : x
  2. Step 2: Convert to fraction form
    18,406.28/25,400.50 = 10,022.76/x
  3. Step 3: Cross multiply
    18,406.28x = 25,400.50 × 10,022.76
  4. Step 4: Simplify right side
    18,406.28x = 254,583,115.38
  5. Step 5: Solve for x
    x = 254,583,115.38/18,406.28
  6. Step 6: Final answer
    x = 13,831.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.