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Finding the Fourth Proportional to 13,455.14, 18,566.42 and 7,486.38

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Solution

The fourth proportional to 13,455.14, 18,566.42 and 7,486.38 is: 10,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.14 : 18,566.42 = 7,486.38 : x
  2. Step 2: Convert to fraction form
    13,455.14/18,566.42 = 7,486.38/x
  3. Step 3: Cross multiply
    13,455.14x = 18,566.42 × 7,486.38
  4. Step 4: Simplify right side
    13,455.14x = 138,995,237.93
  5. Step 5: Solve for x
    x = 138,995,237.93/13,455.14
  6. Step 6: Final answer
    x = 10,330.27

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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.