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Finding the Fourth Proportional to 19,662.16, 27,133.82 and 10,709.63

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Solution

The fourth proportional to 19,662.16, 27,133.82 and 10,709.63 is: 14,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.16 : 27,133.82 = 10,709.63 : x
  2. Step 2: Convert to fraction form
    19,662.16/27,133.82 = 10,709.63/x
  3. Step 3: Cross multiply
    19,662.16x = 27,133.82 × 10,709.63
  4. Step 4: Simplify right side
    19,662.16x = 290,593,186.97
  5. Step 5: Solve for x
    x = 290,593,186.97/19,662.16
  6. Step 6: Final answer
    x = 14,779.31

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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.