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Finding the Fourth Proportional to 12,415.90, 17,131.08 and 7,697.92

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Solution

The fourth proportional to 12,415.90, 17,131.08 and 7,697.92 is: 10,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.90 : 17,131.08 = 7,697.92 : x
  2. Step 2: Convert to fraction form
    12,415.90/17,131.08 = 7,697.92/x
  3. Step 3: Cross multiply
    12,415.90x = 17,131.08 × 7,697.92
  4. Step 4: Simplify right side
    12,415.90x = 131,873,683.35
  5. Step 5: Solve for x
    x = 131,873,683.35/12,415.90
  6. Step 6: Final answer
    x = 10,621.36

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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.