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Finding the Fourth Proportional to 13,214.12, 18,241.20 and 7,907.94

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Solution

The fourth proportional to 13,214.12, 18,241.20 and 7,907.94 is: 10,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.12 : 18,241.20 = 7,907.94 : x
  2. Step 2: Convert to fraction form
    13,214.12/18,241.20 = 7,907.94/x
  3. Step 3: Cross multiply
    13,214.12x = 18,241.20 × 7,907.94
  4. Step 4: Simplify right side
    13,214.12x = 144,250,315.13
  5. Step 5: Solve for x
    x = 144,250,315.13/13,214.12
  6. Step 6: Final answer
    x = 10,916.38

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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.