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Finding the Fourth Proportional to 23,816.57, 32,868.81 and 13,205.99

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Solution

The fourth proportional to 23,816.57, 32,868.81 and 13,205.99 is: 18,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.57 : 32,868.81 = 13,205.99 : x
  2. Step 2: Convert to fraction form
    23,816.57/32,868.81 = 13,205.99/x
  3. Step 3: Cross multiply
    23,816.57x = 32,868.81 × 13,205.99
  4. Step 4: Simplify right side
    23,816.57x = 434,065,176.17
  5. Step 5: Solve for x
    x = 434,065,176.17/23,816.57
  6. Step 6: Final answer
    x = 18,225.34

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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.