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Finding the Fourth Proportional to 23,816.70, 32,866.47 and 13,206.42

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Solution

The fourth proportional to 23,816.70, 32,866.47 and 13,206.42 is: 18,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.70 : 32,866.47 = 13,206.42 : x
  2. Step 2: Convert to fraction form
    23,816.70/32,866.47 = 13,206.42/x
  3. Step 3: Cross multiply
    23,816.70x = 32,866.47 × 13,206.42
  4. Step 4: Simplify right side
    23,816.70x = 434,048,406.74
  5. Step 5: Solve for x
    x = 434,048,406.74/23,816.70
  6. Step 6: Final answer
    x = 18,224.54

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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.