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Finding the Fourth Proportional to 13,005.12, 17,947.13 and 7,340.11

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Solution

The fourth proportional to 13,005.12, 17,947.13 and 7,340.11 is: 10,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.12 : 17,947.13 = 7,340.11 : x
  2. Step 2: Convert to fraction form
    13,005.12/17,947.13 = 7,340.11/x
  3. Step 3: Cross multiply
    13,005.12x = 17,947.13 × 7,340.11
  4. Step 4: Simplify right side
    13,005.12x = 131,733,791.12
  5. Step 5: Solve for x
    x = 131,733,791.12/13,005.12
  6. Step 6: Final answer
    x = 10,129.38

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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.