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Finding the Fourth Proportional to 23,833.68, 32,888.04 and 13,223.04

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Solution

The fourth proportional to 23,833.68, 32,888.04 and 13,223.04 is: 18,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.68 : 32,888.04 = 13,223.04 : x
  2. Step 2: Convert to fraction form
    23,833.68/32,888.04 = 13,223.04/x
  3. Step 3: Cross multiply
    23,833.68x = 32,888.04 × 13,223.04
  4. Step 4: Simplify right side
    23,833.68x = 434,879,868.44
  5. Step 5: Solve for x
    x = 434,879,868.44/23,833.68
  6. Step 6: Final answer
    x = 18,246.44

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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.