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Finding the Fourth Proportional to 13,513.30, 18,650.01 and 7,846.81

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Solution

The fourth proportional to 13,513.30, 18,650.01 and 7,846.81 is: 10,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.30 : 18,650.01 = 7,846.81 : x
  2. Step 2: Convert to fraction form
    13,513.30/18,650.01 = 7,846.81/x
  3. Step 3: Cross multiply
    13,513.30x = 18,650.01 × 7,846.81
  4. Step 4: Simplify right side
    13,513.30x = 146,343,084.97
  5. Step 5: Solve for x
    x = 146,343,084.97/13,513.30
  6. Step 6: Final answer
    x = 10,829.56

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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.