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Finding the Fourth Proportional to 12,134.16, 16,742.16 and 7,416.72

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Solution

The fourth proportional to 12,134.16, 16,742.16 and 7,416.72 is: 10,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.16 : 16,742.16 = 7,416.72 : x
  2. Step 2: Convert to fraction form
    12,134.16/16,742.16 = 7,416.72/x
  3. Step 3: Cross multiply
    12,134.16x = 16,742.16 × 7,416.72
  4. Step 4: Simplify right side
    12,134.16x = 124,171,912.92
  5. Step 5: Solve for x
    x = 124,171,912.92/12,134.16
  6. Step 6: Final answer
    x = 10,233.25

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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.