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Finding the Fourth Proportional to 19,661.69, 27,133.68 and 10,709.34

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Solution

The fourth proportional to 19,661.69, 27,133.68 and 10,709.34 is: 14,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.69 : 27,133.68 = 10,709.34 : x
  2. Step 2: Convert to fraction form
    19,661.69/27,133.68 = 10,709.34/x
  3. Step 3: Cross multiply
    19,661.69x = 27,133.68 × 10,709.34
  4. Step 4: Simplify right side
    19,661.69x = 290,583,819.29
  5. Step 5: Solve for x
    x = 290,583,819.29/19,661.69
  6. Step 6: Final answer
    x = 14,779.19

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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.