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Finding the Fourth Proportional to 12,502.51, 17,257.58 and 7,198.63

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Solution

The fourth proportional to 12,502.51, 17,257.58 and 7,198.63 is: 9,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.51 : 17,257.58 = 7,198.63 : x
  2. Step 2: Convert to fraction form
    12,502.51/17,257.58 = 7,198.63/x
  3. Step 3: Cross multiply
    12,502.51x = 17,257.58 × 7,198.63
  4. Step 4: Simplify right side
    12,502.51x = 124,230,933.12
  5. Step 5: Solve for x
    x = 124,230,933.12/12,502.51
  6. Step 6: Final answer
    x = 9,936.48

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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.