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Finding the Fourth Proportional to 13,484.34, 18,608.40 and 7,516.22

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Solution

The fourth proportional to 13,484.34, 18,608.40 and 7,516.22 is: 10,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.34 : 18,608.40 = 7,516.22 : x
  2. Step 2: Convert to fraction form
    13,484.34/18,608.40 = 7,516.22/x
  3. Step 3: Cross multiply
    13,484.34x = 18,608.40 × 7,516.22
  4. Step 4: Simplify right side
    13,484.34x = 139,864,735.21
  5. Step 5: Solve for x
    x = 139,864,735.21/13,484.34
  6. Step 6: Final answer
    x = 10,372.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.