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Finding the Fourth Proportional to 11,450.95, 17,254.43 and 9,416.53

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Solution

The fourth proportional to 11,450.95, 17,254.43 and 9,416.53 is: 14,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.95 : 17,254.43 = 9,416.53 : x
  2. Step 2: Convert to fraction form
    11,450.95/17,254.43 = 9,416.53/x
  3. Step 3: Cross multiply
    11,450.95x = 17,254.43 × 9,416.53
  4. Step 4: Simplify right side
    11,450.95x = 162,476,770.47
  5. Step 5: Solve for x
    x = 162,476,770.47/11,450.95
  6. Step 6: Final answer
    x = 14,188.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.