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Finding the Fourth Proportional to 12,514.87, 17,252.12 and 9,525.53

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Solution

The fourth proportional to 12,514.87, 17,252.12 and 9,525.53 is: 13,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.87 : 17,252.12 = 9,525.53 : x
  2. Step 2: Convert to fraction form
    12,514.87/17,252.12 = 9,525.53/x
  3. Step 3: Cross multiply
    12,514.87x = 17,252.12 × 9,525.53
  4. Step 4: Simplify right side
    12,514.87x = 164,335,653.57
  5. Step 5: Solve for x
    x = 164,335,653.57/12,514.87
  6. Step 6: Final answer
    x = 13,131.23

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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.