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Finding the Fourth Proportional to 23,824.84, 32,876.72 and 13,213.74

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Solution

The fourth proportional to 23,824.84, 32,876.72 and 13,213.74 is: 18,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.84 : 32,876.72 = 13,213.74 : x
  2. Step 2: Convert to fraction form
    23,824.84/32,876.72 = 13,213.74/x
  3. Step 3: Cross multiply
    23,824.84x = 32,876.72 × 13,213.74
  4. Step 4: Simplify right side
    23,824.84x = 434,424,430.13
  5. Step 5: Solve for x
    x = 434,424,430.13/23,824.84
  6. Step 6: Final answer
    x = 18,234.10

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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.