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Finding the Fourth Proportional to 12,468.34, 17,190.75 and 7,984.72

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Solution

The fourth proportional to 12,468.34, 17,190.75 and 7,984.72 is: 11,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.34 : 17,190.75 = 7,984.72 : x
  2. Step 2: Convert to fraction form
    12,468.34/17,190.75 = 7,984.72/x
  3. Step 3: Cross multiply
    12,468.34x = 17,190.75 × 7,984.72
  4. Step 4: Simplify right side
    12,468.34x = 137,263,331.86
  5. Step 5: Solve for x
    x = 137,263,331.86/12,468.34
  6. Step 6: Final answer
    x = 11,008.95

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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.