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Finding the Fourth Proportional to 12,416.92, 17,135.34 and 7,111.48

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Solution

The fourth proportional to 12,416.92, 17,135.34 and 7,111.48 is: 9,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.92 : 17,135.34 = 7,111.48 : x
  2. Step 2: Convert to fraction form
    12,416.92/17,135.34 = 7,111.48/x
  3. Step 3: Cross multiply
    12,416.92x = 17,135.34 × 7,111.48
  4. Step 4: Simplify right side
    12,416.92x = 121,857,627.70
  5. Step 5: Solve for x
    x = 121,857,627.70/12,416.92
  6. Step 6: Final answer
    x = 9,813.84

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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.