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Finding the Fourth Proportional to 22,729.96, 31,358.49 and 14,228.60

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Solution

The fourth proportional to 22,729.96, 31,358.49 and 14,228.60 is: 19,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.96 : 31,358.49 = 14,228.60 : x
  2. Step 2: Convert to fraction form
    22,729.96/31,358.49 = 14,228.60/x
  3. Step 3: Cross multiply
    22,729.96x = 31,358.49 × 14,228.60
  4. Step 4: Simplify right side
    22,729.96x = 446,187,410.81
  5. Step 5: Solve for x
    x = 446,187,410.81/22,729.96
  6. Step 6: Final answer
    x = 19,629.93

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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.