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Finding the Fourth Proportional to 13,302.31, 18,358.84 and 7,638.83

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Solution

The fourth proportional to 13,302.31, 18,358.84 and 7,638.83 is: 10,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.31 : 18,358.84 = 7,638.83 : x
  2. Step 2: Convert to fraction form
    13,302.31/18,358.84 = 7,638.83/x
  3. Step 3: Cross multiply
    13,302.31x = 18,358.84 × 7,638.83
  4. Step 4: Simplify right side
    13,302.31x = 140,240,057.76
  5. Step 5: Solve for x
    x = 140,240,057.76/13,302.31
  6. Step 6: Final answer
    x = 10,542.53

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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.