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Finding the Fourth Proportional to 16,774.72, 23,141.80 and 10,399.64

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Solution

The fourth proportional to 16,774.72, 23,141.80 and 10,399.64 is: 14,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.72 : 23,141.80 = 10,399.64 : x
  2. Step 2: Convert to fraction form
    16,774.72/23,141.80 = 10,399.64/x
  3. Step 3: Cross multiply
    16,774.72x = 23,141.80 × 10,399.64
  4. Step 4: Simplify right side
    16,774.72x = 240,666,388.95
  5. Step 5: Solve for x
    x = 240,666,388.95/16,774.72
  6. Step 6: Final answer
    x = 14,346.97

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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.