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Finding the Fourth Proportional to 12,634.80, 17,431.14 and 7,328.64

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Solution

The fourth proportional to 12,634.80, 17,431.14 and 7,328.64 is: 10,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.80 : 17,431.14 = 7,328.64 : x
  2. Step 2: Convert to fraction form
    12,634.80/17,431.14 = 7,328.64/x
  3. Step 3: Cross multiply
    12,634.80x = 17,431.14 × 7,328.64
  4. Step 4: Simplify right side
    12,634.80x = 127,746,549.85
  5. Step 5: Solve for x
    x = 127,746,549.85/12,634.80
  6. Step 6: Final answer
    x = 10,110.69

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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.