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Finding the Fourth Proportional to 13,516.50, 18,652.58 and 7,548.26

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Solution

The fourth proportional to 13,516.50, 18,652.58 and 7,548.26 is: 10,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.50 : 18,652.58 = 7,548.26 : x
  2. Step 2: Convert to fraction form
    13,516.50/18,652.58 = 7,548.26/x
  3. Step 3: Cross multiply
    13,516.50x = 18,652.58 × 7,548.26
  4. Step 4: Simplify right side
    13,516.50x = 140,794,420.81
  5. Step 5: Solve for x
    x = 140,794,420.81/13,516.50
  6. Step 6: Final answer
    x = 10,416.48

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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.