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Finding the Fourth Proportional to 13,438.63, 20,160.78 and 4,673.22

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Solution

The fourth proportional to 13,438.63, 20,160.78 and 4,673.22 is: 7,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.63 : 20,160.78 = 4,673.22 : x
  2. Step 2: Convert to fraction form
    13,438.63/20,160.78 = 4,673.22/x
  3. Step 3: Cross multiply
    13,438.63x = 20,160.78 × 4,673.22
  4. Step 4: Simplify right side
    13,438.63x = 94,215,760.31
  5. Step 5: Solve for x
    x = 94,215,760.31/13,438.63
  6. Step 6: Final answer
    x = 7,010.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.