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Finding the Fourth Proportional to 12,416.22, 17,134.23 and 7,380.65

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Solution

The fourth proportional to 12,416.22, 17,134.23 and 7,380.65 is: 10,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.22 : 17,134.23 = 7,380.65 : x
  2. Step 2: Convert to fraction form
    12,416.22/17,134.23 = 7,380.65/x
  3. Step 3: Cross multiply
    12,416.22x = 17,134.23 × 7,380.65
  4. Step 4: Simplify right side
    12,416.22x = 126,461,825.16
  5. Step 5: Solve for x
    x = 126,461,825.16/12,416.22
  6. Step 6: Final answer
    x = 10,185.21

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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.