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Finding the Fourth Proportional to 12,451.93, 17,182.28 and 7,415.45

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Solution

The fourth proportional to 12,451.93, 17,182.28 and 7,415.45 is: 10,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.93 : 17,182.28 = 7,415.45 : x
  2. Step 2: Convert to fraction form
    12,451.93/17,182.28 = 7,415.45/x
  3. Step 3: Cross multiply
    12,451.93x = 17,182.28 × 7,415.45
  4. Step 4: Simplify right side
    12,451.93x = 127,414,293.57
  5. Step 5: Solve for x
    x = 127,414,293.57/12,451.93
  6. Step 6: Final answer
    x = 10,232.50

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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.