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Finding the Fourth Proportional to 16,709.76, 23,056.76 and 9,998.16

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Solution

The fourth proportional to 16,709.76, 23,056.76 and 9,998.16 is: 13,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.76 : 23,056.76 = 9,998.16 : x
  2. Step 2: Convert to fraction form
    16,709.76/23,056.76 = 9,998.16/x
  3. Step 3: Cross multiply
    16,709.76x = 23,056.76 × 9,998.16
  4. Step 4: Simplify right side
    16,709.76x = 230,525,175.56
  5. Step 5: Solve for x
    x = 230,525,175.56/16,709.76
  6. Step 6: Final answer
    x = 13,795.84

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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.