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Finding the Fourth Proportional to 19,177.65, 28,769.31 and 9,822.96

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Solution

The fourth proportional to 19,177.65, 28,769.31 and 9,822.96 is: 14,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,177.65 : 28,769.31 = 9,822.96 : x
  2. Step 2: Convert to fraction form
    19,177.65/28,769.31 = 9,822.96/x
  3. Step 3: Cross multiply
    19,177.65x = 28,769.31 × 9,822.96
  4. Step 4: Simplify right side
    19,177.65x = 282,599,781.36
  5. Step 5: Solve for x
    x = 282,599,781.36/19,177.65
  6. Step 6: Final answer
    x = 14,735.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.