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Finding the Fourth Proportional to 23,823.51, 32,877.91 and 13,213.15

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Solution

The fourth proportional to 23,823.51, 32,877.91 and 13,213.15 is: 18,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.51 : 32,877.91 = 13,213.15 : x
  2. Step 2: Convert to fraction form
    23,823.51/32,877.91 = 13,213.15/x
  3. Step 3: Cross multiply
    23,823.51x = 32,877.91 × 13,213.15
  4. Step 4: Simplify right side
    23,823.51x = 434,420,690.84
  5. Step 5: Solve for x
    x = 434,420,690.84/23,823.51
  6. Step 6: Final answer
    x = 18,234.96

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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.