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Finding the Fourth Proportional to 13,237.31, 18,267.96 and 7,268.93

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Solution

The fourth proportional to 13,237.31, 18,267.96 and 7,268.93 is: 10,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.31 : 18,267.96 = 7,268.93 : x
  2. Step 2: Convert to fraction form
    13,237.31/18,267.96 = 7,268.93/x
  3. Step 3: Cross multiply
    13,237.31x = 18,267.96 × 7,268.93
  4. Step 4: Simplify right side
    13,237.31x = 132,788,431.14
  5. Step 5: Solve for x
    x = 132,788,431.14/13,237.31
  6. Step 6: Final answer
    x = 10,031.38

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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.