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Finding the Fourth Proportional to 12,455.68, 17,180.04 and 7,415.99

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Solution

The fourth proportional to 12,455.68, 17,180.04 and 7,415.99 is: 10,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.68 : 17,180.04 = 7,415.99 : x
  2. Step 2: Convert to fraction form
    12,455.68/17,180.04 = 7,415.99/x
  3. Step 3: Cross multiply
    12,455.68x = 17,180.04 × 7,415.99
  4. Step 4: Simplify right side
    12,455.68x = 127,407,004.84
  5. Step 5: Solve for x
    x = 127,407,004.84/12,455.68
  6. Step 6: Final answer
    x = 10,228.83

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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.