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Finding the Fourth Proportional to 16,627.92, 22,943.36 and 9,914.16

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Solution

The fourth proportional to 16,627.92, 22,943.36 and 9,914.16 is: 13,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.92 : 22,943.36 = 9,914.16 : x
  2. Step 2: Convert to fraction form
    16,627.92/22,943.36 = 9,914.16/x
  3. Step 3: Cross multiply
    16,627.92x = 22,943.36 × 9,914.16
  4. Step 4: Simplify right side
    16,627.92x = 227,464,141.98
  5. Step 5: Solve for x
    x = 227,464,141.98/16,627.92
  6. Step 6: Final answer
    x = 13,679.65

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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.