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Finding the Fourth Proportional to 17,369.76, 23,969.82 and 9,816.06

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Solution

The fourth proportional to 17,369.76, 23,969.82 and 9,816.06 is: 13,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369.76 : 23,969.82 = 9,816.06 : x
  2. Step 2: Convert to fraction form
    17,369.76/23,969.82 = 9,816.06/x
  3. Step 3: Cross multiply
    17,369.76x = 23,969.82 × 9,816.06
  4. Step 4: Simplify right side
    17,369.76x = 235,289,191.31
  5. Step 5: Solve for x
    x = 235,289,191.31/17,369.76
  6. Step 6: Final answer
    x = 13,545.91

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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.