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Finding the Fourth Proportional to 20,172.42, 27,831.11 and 14,425.02

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Solution

The fourth proportional to 20,172.42, 27,831.11 and 14,425.02 is: 19,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.42 : 27,831.11 = 14,425.02 : x
  2. Step 2: Convert to fraction form
    20,172.42/27,831.11 = 14,425.02/x
  3. Step 3: Cross multiply
    20,172.42x = 27,831.11 × 14,425.02
  4. Step 4: Simplify right side
    20,172.42x = 401,464,246.25
  5. Step 5: Solve for x
    x = 401,464,246.25/20,172.42
  6. Step 6: Final answer
    x = 19,901.64

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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.