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Finding the Fourth Proportional to 23,802.96, 32,846.80 and 13,191.96

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Solution

The fourth proportional to 23,802.96, 32,846.80 and 13,191.96 is: 18,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.96 : 32,846.80 = 13,191.96 : x
  2. Step 2: Convert to fraction form
    23,802.96/32,846.80 = 13,191.96/x
  3. Step 3: Cross multiply
    23,802.96x = 32,846.80 × 13,191.96
  4. Step 4: Simplify right side
    23,802.96x = 433,313,671.73
  5. Step 5: Solve for x
    x = 433,313,671.73/23,802.96
  6. Step 6: Final answer
    x = 18,204.19

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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.