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Finding the Fourth Proportional to 19,769.67, 29,656.08 and 5,729.94

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Solution

The fourth proportional to 19,769.67, 29,656.08 and 5,729.94 is: 8,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.67 : 29,656.08 = 5,729.94 : x
  2. Step 2: Convert to fraction form
    19,769.67/29,656.08 = 5,729.94/x
  3. Step 3: Cross multiply
    19,769.67x = 29,656.08 × 5,729.94
  4. Step 4: Simplify right side
    19,769.67x = 169,927,559.04
  5. Step 5: Solve for x
    x = 169,927,559.04/19,769.67
  6. Step 6: Final answer
    x = 8,595.37

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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.