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Finding the Fourth Proportional to 11,683.50, 17,440.53 and 10,816.29

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Solution

The fourth proportional to 11,683.50, 17,440.53 and 10,816.29 is: 16,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.50 : 17,440.53 = 10,816.29 : x
  2. Step 2: Convert to fraction form
    11,683.50/17,440.53 = 10,816.29/x
  3. Step 3: Cross multiply
    11,683.50x = 17,440.53 × 10,816.29
  4. Step 4: Simplify right side
    11,683.50x = 188,641,830.23
  5. Step 5: Solve for x
    x = 188,641,830.23/11,683.50
  6. Step 6: Final answer
    x = 16,146.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.