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Finding the Fourth Proportional to 20,431.04, 28,201.98 and 12,047

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Solution

The fourth proportional to 20,431.04, 28,201.98 and 12,047 is: 16,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.04 : 28,201.98 = 12,047 : x
  2. Step 2: Convert to fraction form
    20,431.04/28,201.98 = 12,047/x
  3. Step 3: Cross multiply
    20,431.04x = 28,201.98 × 12,047
  4. Step 4: Simplify right side
    20,431.04x = 339,749,253.06
  5. Step 5: Solve for x
    x = 339,749,253.06/20,431.04
  6. Step 6: Final answer
    x = 16,629.07

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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.