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Finding the Fourth Proportional to 12,794.42, 17,632.68 and 9,251.48

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Solution

The fourth proportional to 12,794.42, 17,632.68 and 9,251.48 is: 12,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.42 : 17,632.68 = 9,251.48 : x
  2. Step 2: Convert to fraction form
    12,794.42/17,632.68 = 9,251.48/x
  3. Step 3: Cross multiply
    12,794.42x = 17,632.68 × 9,251.48
  4. Step 4: Simplify right side
    12,794.42x = 163,128,386.37
  5. Step 5: Solve for x
    x = 163,128,386.37/12,794.42
  6. Step 6: Final answer
    x = 12,749.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.