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Finding the Fourth Proportional to 13,041, 19,516.40 and 8,041.36

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Solution

The fourth proportional to 13,041, 19,516.40 and 8,041.36 is: 12,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 19,516.40 = 8,041.36 : x
  2. Step 2: Convert to fraction form
    13,041/19,516.40 = 8,041.36/x
  3. Step 3: Cross multiply
    13,041x = 19,516.40 × 8,041.36
  4. Step 4: Simplify right side
    13,041x = 156,938,398.30
  5. Step 5: Solve for x
    x = 156,938,398.30/13,041
  6. Step 6: Final answer
    x = 12,034.23

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Why These Related Problems?

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