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Finding the Fourth Proportional to 12,132, 16,742.34 and 7,415.28

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Solution

The fourth proportional to 12,132, 16,742.34 and 7,415.28 is: 10,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 16,742.34 = 7,415.28 : x
  2. Step 2: Convert to fraction form
    12,132/16,742.34 = 7,415.28/x
  3. Step 3: Cross multiply
    12,132x = 16,742.34 × 7,415.28
  4. Step 4: Simplify right side
    12,132x = 124,149,138.96
  5. Step 5: Solve for x
    x = 124,149,138.96/12,132
  6. Step 6: Final answer
    x = 10,233.20

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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.