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Finding the Fourth Proportional to 30,186.90, 45,286.74 and 9,128.52

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Solution

The fourth proportional to 30,186.90, 45,286.74 and 9,128.52 is: 13,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.90 : 45,286.74 = 9,128.52 : x
  2. Step 2: Convert to fraction form
    30,186.90/45,286.74 = 9,128.52/x
  3. Step 3: Cross multiply
    30,186.90x = 45,286.74 × 9,128.52
  4. Step 4: Simplify right side
    30,186.90x = 413,400,911.82
  5. Step 5: Solve for x
    x = 413,400,911.82/30,186.90
  6. Step 6: Final answer
    x = 13,694.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.