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Finding the Fourth Proportional to 12,941.14, 17,858.96 and 7,275.57

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Solution

The fourth proportional to 12,941.14, 17,858.96 and 7,275.57 is: 10,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.14 : 17,858.96 = 7,275.57 : x
  2. Step 2: Convert to fraction form
    12,941.14/17,858.96 = 7,275.57/x
  3. Step 3: Cross multiply
    12,941.14x = 17,858.96 × 7,275.57
  4. Step 4: Simplify right side
    12,941.14x = 129,934,077.23
  5. Step 5: Solve for x
    x = 129,934,077.23/12,941.14
  6. Step 6: Final answer
    x = 10,040.39

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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.