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Finding the Fourth Proportional to 12,451.12, 17,178.86 and 7,412.82

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Solution

The fourth proportional to 12,451.12, 17,178.86 and 7,412.82 is: 10,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.12 : 17,178.86 = 7,412.82 : x
  2. Step 2: Convert to fraction form
    12,451.12/17,178.86 = 7,412.82/x
  3. Step 3: Cross multiply
    12,451.12x = 17,178.86 × 7,412.82
  4. Step 4: Simplify right side
    12,451.12x = 127,343,796.99
  5. Step 5: Solve for x
    x = 127,343,796.99/12,451.12
  6. Step 6: Final answer
    x = 10,227.50

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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.