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Finding the Fourth Proportional to 12,514.46, 17,268.25 and 7,477.62

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Solution

The fourth proportional to 12,514.46, 17,268.25 and 7,477.62 is: 10,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.46 : 17,268.25 = 7,477.62 : x
  2. Step 2: Convert to fraction form
    12,514.46/17,268.25 = 7,477.62/x
  3. Step 3: Cross multiply
    12,514.46x = 17,268.25 × 7,477.62
  4. Step 4: Simplify right side
    12,514.46x = 129,125,287.84
  5. Step 5: Solve for x
    x = 129,125,287.84/12,514.46
  6. Step 6: Final answer
    x = 10,318.09

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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.