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Finding the Fourth Proportional to 23,820, 32,872.52 and 13,209.41

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Solution

The fourth proportional to 23,820, 32,872.52 and 13,209.41 is: 18,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820 : 32,872.52 = 13,209.41 : x
  2. Step 2: Convert to fraction form
    23,820/32,872.52 = 13,209.41/x
  3. Step 3: Cross multiply
    23,820x = 32,872.52 × 13,209.41
  4. Step 4: Simplify right side
    23,820x = 434,226,364.00
  5. Step 5: Solve for x
    x = 434,226,364.00/23,820
  6. Step 6: Final answer
    x = 18,229.49

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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.