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Finding the Fourth Proportional to 11,213.44, 16,878.64 and 9,522.16

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Solution

The fourth proportional to 11,213.44, 16,878.64 and 9,522.16 is: 14,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.44 : 16,878.64 = 9,522.16 : x
  2. Step 2: Convert to fraction form
    11,213.44/16,878.64 = 9,522.16/x
  3. Step 3: Cross multiply
    11,213.44x = 16,878.64 × 9,522.16
  4. Step 4: Simplify right side
    11,213.44x = 160,721,110.66
  5. Step 5: Solve for x
    x = 160,721,110.66/11,213.44
  6. Step 6: Final answer
    x = 14,332.90

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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.