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Finding the Fourth Proportional to 23,823.80, 32,875.72 and 13,213.20

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Solution

The fourth proportional to 23,823.80, 32,875.72 and 13,213.20 is: 18,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.80 : 32,875.72 = 13,213.20 : x
  2. Step 2: Convert to fraction form
    23,823.80/32,875.72 = 13,213.20/x
  3. Step 3: Cross multiply
    23,823.80x = 32,875.72 × 13,213.20
  4. Step 4: Simplify right side
    23,823.80x = 434,393,463.50
  5. Step 5: Solve for x
    x = 434,393,463.50/23,823.80
  6. Step 6: Final answer
    x = 18,233.59

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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.