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Finding the Fourth Proportional to 23,816.40, 32,866.60 and 13,206.80

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Solution

The fourth proportional to 23,816.40, 32,866.60 and 13,206.80 is: 18,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.40 : 32,866.60 = 13,206.80 : x
  2. Step 2: Convert to fraction form
    23,816.40/32,866.60 = 13,206.80/x
  3. Step 3: Cross multiply
    23,816.40x = 32,866.60 × 13,206.80
  4. Step 4: Simplify right side
    23,816.40x = 434,062,612.88
  5. Step 5: Solve for x
    x = 434,062,612.88/23,816.40
  6. Step 6: Final answer
    x = 18,225.37

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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.