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Finding the Fourth Proportional to 13,042.68, 17,998.89 and 7,074.39

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Solution

The fourth proportional to 13,042.68, 17,998.89 and 7,074.39 is: 9,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.68 : 17,998.89 = 7,074.39 : x
  2. Step 2: Convert to fraction form
    13,042.68/17,998.89 = 7,074.39/x
  3. Step 3: Cross multiply
    13,042.68x = 17,998.89 × 7,074.39
  4. Step 4: Simplify right side
    13,042.68x = 127,331,167.43
  5. Step 5: Solve for x
    x = 127,331,167.43/13,042.68
  6. Step 6: Final answer
    x = 9,762.65

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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.